
Glass _^E_4^3L_ 
Poole J^^S 



SMITHSONIAN DEPOSIT 






TABLES 

OF 

BEARINGS, DISTANCES, LATITUDES, LONGITUDES, &c. 

ASCERTAINED BV THK 

ASTRONOMICAL AND TRIGONOMETRICAL 

SURVEY 

OF MASSACHUSETTS. 



\ 



/(>/ 



TABLES 



ASTRONOMICAL AND TRIGONOMETRICAL 



SURVEY. 



TABLES 



BEARINGS, DISTANCES, LATITUDES, LONGITUDES, fa. 



ASCERTAINED BY THE 



ASTRONOMICAL AND TRIGONOMETRICAL 



SURVEY 



OF MASSACHUSETTS 



PUBLISHED AGREEABLY TO A RESOLVE OF THE GENERAL COURT, 



BY JOHN G. PALFREY, 



SECRETARY OF THE COMMONWEALTH. 







BUTTON AND WENTWORTH, STATE PRINTERS, 

NO. 37, CONGRESS STREET. 

1846. 



^ 1.-1 

\^^^'^ 



ADVERTISEMENT. 



The General Court of Massachusetts for the year 1829-1830 
passed Resolves (chap. 50) requiring each town in the Common- 
wealth to forward to the Secretary's office an accurate map of its 
territory, from actual surveys, on the scale of one hundred rods to 
an inch. Another Resolve of the same year (chap. 58) empowered 
the Governor to appoint a Surveyor, with assistants, to make a Trig- 
onometrical Survey of the Commonwealth, accompanied by astro- 
nomical observations. A Resolve of the next General Court (chap. 
18) authorized the further measure of a Geological Survey. Gov- 
ernor Lincoln, whose long administration was signalized by substan- 
tial and permanent monuments of the most liberal and enlightened 
policy, and to whose persevering exertions the accomplishment of 
this, among other objects of high public utility, is materially in- 
debted, took the first steps towards executing the will of the Leg- 
islature, by appointing Mr. Robert Treat Faine, of Boston, Chief 
Engineer, with Mr. James Stevens, of Newport, Rhode Island, for 
his Assistant, and Professor Hitchcock, of Amherst College, Geolog- 
ical Surveyor. 

Towards the end of the year, Mr. Stevens, having proceeded to 
Washington, and borrowed some instruments from the jjublic offices, 
selected a place for measuring a base line, and employed jMr. Simeon 
Borden, of Fall River, to construct an apparatus for the measure- 
ment. The winter was spent by Mr. Borden in making the appa- 
ratus and repairing the instruments. In the spring of 1831, the 
astronomical and chronometrical observations were commenced by 
the Chief Engineer, and the surveys and triangulations by the 



ADVERTISEMENT. 



Topographical Surveyor. In 1834, Mr. Stevens resigned the charge 
of the Survey, which, from that time, devolved on Mr. Borden. In 
1838, the Chief Engineer also made his final report, and Mr. Borden 
was entrusted with the completion of the work. 

At this time, the field-work was supposed to be finished, and a 
sufficient number of the main triangles had been calculated to cover 
a section of fifty miles square of the western portion of the State. The 
town surveys having also been lodged in the Secretary's office, Mr. 
Borden proceeded to the compilation of the map. Here a serious dif- 
ficulty occurred, which miglit very naturally have been anticipated. 
Some of the town surveys, made, of course, by practitioners of very 
different degrees of skill, were found to be extremely inaccurate. 
The boundaries of adjacent towns, as delineated by them respect- 
ively, did not coincide ; the corresponding points of rivers and roads 
did not meet each other ; and Mr. Borden had to go again into the 
field, with four or five assistants, to make corrections. At length, in 
1842, the map was projected, ready for the engraver, on a reduced 
scale of two and a half miles to the inch, or one eighth part of that 
of the original plans. Accompanied by a delineation of the Geolog- 
ical Survey, on a reduced scale of one half of that of the principal 
map. it was engraved on six plates by Mr. G. G. Smith, of Boston, 
in the best style of that eminent artist, and was printed and published 
in the autumn of 1844. Its dimensions are seven feet by four feet 
and a half. It shows the boundaries of towns, the roads, rivers, 
mountains, the sites of some principal edifices, the topography of the 
country generally, and the elevations of the principal stations of the 
triangulation. The whole cost, independently of that of the town 
surveys, which has not been reported, exceeded seventy thousand 
dollars. 

The General Court of 1845, considering that the detailed results 
of the Survey ought to be made generally accessible for use in laying 
out roads, measurements of towns, and other like operations, passed 
a Resolve (chap. 106) directing the Secretary " to cause to be print- 
ed such portions of the tables deposited in his office, exhibiting re- 
sults obtained from the recent Trigonometrical Survey of the Com- 
monwealth, as would be useful" for these purposes; a measure, 
which has led to the present publication. 



AUVEKTISEMENT. Ill 

The base line for the triangulation of the Commonwealth was 
measured, 7.3882 miles in length, on the west side of Connecticut 
River, between points in the town of Hatfield, and on the southern 
bank of Bloody Brook, in Deerfield. The apparatus for the measure- 
ment, invented and made by Mr. Borden, proved so perfect, that two 
separate and independent measurements of this long line differed 
from each other only 0.237 of an inch, a degree of precision which 
has reasonably excited the admiration of scientific men. A full des- 
cription of this apparatus, which has since been introduced in the 
Coast Survey of the United States, maybe found by the professional 
inquirer in a paper published in the ninth volume of the Transactions 
of the American Philosophical Society, pp. 33-91. In the opera- 
tions connected with the triangulation, a twelve-inch repeating the- 
odolite, with a vertical circle attached, made by Troughton, for Mr. 
Hassler, of the Coast Survey, was used to measure the vertical angles, 
and a telescope, forty-six inches in focal length, mounted by Mr. Bor- 
den, to measure the azimuth angles. 

The results of the triangulation were verified by the series of 
astronomical observations by Mr. Paine, who thus determined the 
Latitudes and Longitudes of twenty-seven places in and near Mas- 
sachusetts. Several of them have also been verified by the United 
States Coast Survey. The line six or seven miles long between Po- 
casset Hill, in Tiverton, and Quaker Hill, in Portsmouth, Rhode 
Island, one of the most distant lines from the measured base, differed 
but 0.22 of a foot, as determined by the two surveys respectively. 

In digesting the town surveys, in his compilation of the map, so 
as to reduce the sum of their errors to the lowest possible point, 
Mr. Borden availed himself of another important invention, first 
suggested to him by Mr. Alvan Clark, of Cambridge, which has 
also been introduced into the United States Coast Survey, and 
into the office of the Topographical Engineers, and by which, 
it has been said, on good authority, that a sum of not less than 
five thousand dollars will be annually saved to the country in 
those offices. It consists in a novel and most ingenious application 
of the Camera Lucida to the purposes of topographical drawing. 

The Resolve directing this publication was passed only the day 
before the prorogation of the General Court. As soon as I was able 



IV ADVERTISEMENT. 



to give attention to the subject, I perceived that I could but very 
partially make the Tables " useful," which it was my duty to do, 
witiiout accompanying them with a plan of the triangulation. I 
have accordingly caused to be prefixed a lithographed delineation of 
the triangles, copied with great exactness by Messrs. Bufford & Co. 
of Boston, from a lithograph accompanying the communication to the 
American Philosophical Society, above referred to. As the printing 
of the Tables proceeded, it further became obvious, that, for the 
same reason, it required to be accompanied by a collection of such 
mathematical formula as would make it available for the purposes of 
surveyors. I applied successively to Mr. Borden and to his accom- 
plished Assistant, Mr. Charles O. Boutelle, now of the United 
States Coast Survey, to furnish these formulae. Both evinced the 
same liberal disposition towards the object, which has so uniformly and 
honorably distinguished their course ; but the engagements of both 
have been so urgent as not to leave the requisite time at their com- 
mand. The printing of the Tables was completed last September. But 
the publication has been delayed to the present time, for want ot the 
desired mathematical explanations, which, at much inconvenience 
to themselves, these gentlemen have at length had the great kind- 
ness to furnish. 

J. G. P. 
Secretary's Office ; 
March 21, 1846. 



INTRODUCTION. 



The survey of the State of Massachusetts, on which the map lately 
published is founded, was begun under an Act of the Legislature, passed 
in 1831. It was divided into four sections, Geological, Astronomical, 
Trigonometrical, and Topographical ; the last three properly forming parts 
of one great work, whose ultimate object was to furnish data for a complete 
and thorough map of the State. 

The Tables here given form a part of the data obtained by the 
Trigonometrical Survey, conducted by Simeon Borden, Esq., combined 
with the separate astronomical observations made by R. T. Paine, Esq. 

They may be made useful to Engineers, Surveyors, and others, in all 
parts of the Commonwealth, in various ways, as follows : — 

1. By furnishing accurate data for determining the magnetic variation, 
and the ratio of its change from year to year, and by affording a test of the 
existence of local attraction, and a measure of its amount. 

2. By enabling Rail-road Surveyors, or others, having occasion to 
measure upon long, irregular routes from one town to another, to check 
their measurements and determine the amount of their error either in length 
or direction, every time they reach a Trigonometrical point. 

3. By affording bases and azimuths for local surveys of towns and of 
large farms, more accurate than the small instruments in ordinary use are 
generally able to give. 

4. By making public the exact relative position of some five hundred 
points, in all parts of the Commonwealth, to be used for future reference. 
These will always afford a basis upon which future Topographical Surveys 
in detail may be made, whenever the changes in the surface of the State 
shall call for a new map, or for corrections to the present one. 

5. By furnishing the absolute geographical position, in latitude and 
longitude, of about four hundred points, many of them on the coast, where 
a knowledge of their true position may be useful to the mariner, and all 
interesting to the scientific astronomer, or astronomical amateur, who may 
always refer his observations to some point in his vicinity, upon which 
many thousand observations have been brought to bear, and which cannot, 
m the nature of things, be greatly in error. 

6. Generally, by awakening in some, and keeping alive in others, a 
fondness for exactness in their field surveys and calculations, and thus 

B 



VI INTRODUCTION. 

leading to that reform in the present method of land surveying, which the 
rapidly increasing value of real estate in the greater part of the State, 
loudly calls for. 

In tjie following explanations, it is taken for granted, that the reader is 
conversant with the ordinary principles of Trigonometry, and with the use 
of Logarithmic Tables. Those who are not, and who wish to avail them- 
selves of the data in this book, are referred to the works of Flint, Davies, 
and Gurnmere on Surveying. The first named book contains Logarithm and 
Traverse Tables. For a higlier order of surveying, Hassler's Log. Tables 
will be found accurate, useful, and portable. They are carried to seven 
places of decimals. Examples are given of the methods of working all the 
formula. Where practicable, rules are given in addition to the ordinary 
algebraic formulae. 

EXPLANATION OF THE TABLES. 

A Trigonometrical Survey consists in measuring, with the utmost care, 
a Base Line, in some favorable location, and upon it building a series of 
triangles. The first has the measured base for one of its sides, and the 
others gradually enlarge from the base as the configuration of the country 
will allow. All the three angles, in each triangle, are thus carefully 
measured, and their sum, if correct, will be equal to two right angles, -phts 
a small quantity, which is due to the spherical figure of the earth, and is 
called the spherical excess. 

At some central station, the direction of the true meridian is obtained by 
astronomical observations, and the angles made with it, by the sides of 
triangles radiating from that point (called the azimuths) are measured. 
The latitude of this, and other points of the triangulation, is determined by 
celestial observations. Care is taken that these points shall have as great a 
difference of latitude as the figure of the country surveyed will allow. If 
the survey extends through a degree, or more, of latitude, the astronomical 
observations, combined with the results of the triangulation, will give the 
value of a degree in that latitude ; i. e., the number of feet or yards there 
are in a degree of latitude on that particular part of the earth's surface 
covered by the survey. 

This value, again combined with a similar one, determined by similar 
means, in a distant latitude, (as for example, a degree measured in Massa- 
chusetts combined with a degree measured in Peru,) will give a value for 
the cUipticity, or compression of the poles of the earth ; or, in other words, 
the quantity the polar radius is shorter than the equatorial radius. If the 
survey does not cover a sufficient difference of latitude to enable the 
observer to determine the ellipticity from his own observations, recourse is 
had to those of others; and, in such cases, the mean elements of the earth's 
figure and magnitude, given by M. Bessel, are probably the best extant. 



INTRODUCTION. VU 

They will be tound in the explanations of the mode of determining the 
latitudes and longitudes given further on. 

When a survey is sufficiently extensive, however, every observer will 
prefer to determine the ellipticity for himself, since, the more such surveys 
are multiplied, the more they seem to show that the earth's figure is not a 
regular splieroid, or that there are other, as yet, unknown causes which 
serve to render the most careful observations uncertain. 

The elements of the earth's figure and magnitude being thus determined 
by observation, or taken from the observations of others, the differences of 
latitude, longitude, and azimuth, of all the points of the triangles, are com- 
puted by means of the azimuths and distances between the stations, 
commencing at some point where the direction of the meridian has been 
obtained by observation. The same result may be arrived at, by starting 
from the observed meridian and computing the Northing or Southing, 
Easting or Westing, made on every course, on parallels to the meridian of 
the starting point and its perpendicular. These latitudes and departures, 
as they are usually called, are then combined so as to proceed from some 
one zero point, and the diflerence of latitude and longitude computed by 
means of tables prepared for the purpose, and based upon the elements of 
the earth's figure and magnitude adopted or observed, as above explained. 
The latter method has been adopted in the Massachusetts survey, and will 
be more fully explained and illustrated hereafter. 

The general principles, of which an outline has been given above, were 
applied to practice in Massachusetts, in the following manner : — 

A base line was selected and measured on the West side of the Con- 
necticut River, extending from the South part of Deerfield, Franklin 
County, to near the centre of Hatfield, Hampshire County. It is 7.3SS 
miles long, and was measured twice over, with a compensating apparatus, 
constructed by Mr. Borden for the purpose. The two measurements differed 
0.237 inches, and its final length, reduced to the level of the sea, is 
39009.73 feet, of the 82 inch copy of Troughton's scale, belonging to the 
U. S. Coast Survey, at 62° Fahrenheit; the Logarithm of the base is 
4.5911729. Upon this base, all the measures contained in these tables are 
founded. The angles were all measured by Mr. Borden, and azimuths 
observed at French's Hill, in Peru, Berkshire County ; at Boston ; and at 
Fall River, Bristol County. At the same time, astronomical observations 
were made at twenty-five points, in different parts of the State, by Mr. Paine. 
The sides of the triangles were then calculated, and the latitudes and de- 
partures computed. For greater accuracy and convenience in constructing 
the map, ]\Ir. Borden divided the State into five sections, each having its 
own central meridian on parallels, to which, and its perpendicular, all the 
directions given in these tables are based. 

Section I comprises all that part of the State lying West of Connecticut 
River, except Gill, and part of Northfield, and is based upon the meridian 
of French's Hill, in Peru. 



Vlll INTRODUCTION. 

Section II is bounded West by Section I, and includes, upon the East, 
Pepperell, part of Groton, Harvard, Bolton, Berlin, Northborough, West- 
borough, Upton, and Uxbridge. It is based upon the meridian of Tuft's 
Hill, in New Braintree. 

Sections III and IV are, in fact, as one, lying North and South of each 
other, and both based upon the meridian of the State House, in Boston. 
Section III is bounded West by Section II, and East by the ocean. Sec- 
tion ly is bounded West by Rhode Island, and includes, on the East, 
Plymouth, Tisbury, Chilmark, and the Island of No Man's Land. 

Section V comprises all that part of the State lying East of Section IV, 
and is based upon the meridian of Hyannis station, in Barnstable. 

There are four Tables to each Section : and, as the principle of con- 
struction is alike in all. Sections III and IV will be taken as examples by 
which to explain the others. Tables 1 and 2 in each section are alike in 
their mode of construction and application. Table 1 refers to the primary 
stations or points where all the three angles in each triangle have generally 
been measured, and the position of every point carefully determined. 
Table 2 refers to secondary objects, principally churches, (marked upon 
the State map by a triangle with a cross upon it, thus^^) and less labor 
has been bestowed upon them. Their positions are generally accurate to 
within six feet. The same is the case with the Tables 3 and 4 ; Table 3 
giving the relative and absolute positions of the primary, and Table 4 
those of the secondary stations. 

Of Tables 1 and 2. 

Table 1 of these sections contains the bearings and distances from one 
station to another on parallels to the meridian of the State House, with the 
Northings and Southings, Eastings and Westings, made on each course. 
The bearings, at the State House, of the other stations in siglit from it, are 
determined by direct observation, and of all the others in the section, by 
combining them with the angles df the triangles observed at each station. 

Page 38. State House to Prospect Hill, 'Waltham, is N. W. 77" 47' 
13".25. If we suppose the meridian at Prospect Hill parallel to that of the 
State House, we have, for the direction of the line. Prospect Hill to State 
House, the same course reversed, viz. : S. E. 77° 47' 13"25. The angle* at 
Prospect Hill, between State House and Blue Hill, is 47° 2ry 06".S9. Blue 
Hill being South or to the right of the S. H. as seen from Prospect Hill, the 
angle must be deducted from the above course, and we shall have 30° 21' 
06". 36 S. E., as the direction from Prospect Hill to Blue Hill, parallel to the 
meridimi of the State House ; and reversing this course, Blue to Prospect 
will be N. W. 30° 21' 06".36. The angle at Blue Hill, between Prospect 

* Whenever angles are named in these explanalions, the station on the left of the observer is always men- 
\\oneA first. The central station is generally referred to, in «hal follows, as the "prime meridian" of the 
section. 



INTRODUCTION. IX 

Hill and State House, = 44° 45' 27".55, whence we have Blue Hill to State 
House, = N. E. 14° 24' 21". 19, or State House to Blue Hill, = S. W. 14° 
24' 21".19, as given on Page 38. In this manner, the bearings, parallel to 
the meridian of the starting point, are carried through Tables 1 and 2 of 
each section. 

The distance, in feet, on each line is given in Table 1, and is the 
hypothenuse of a right-angled triangle, of which the bearing is one of the 
angles, and the numbers in the other two columns, the legs. Let B^ihe 
bearing of any side, a= the distance, c^ latitude, and 6 = departure on 
each course ; then (1) 6^a Sin. i? ; (2) c=a Cos. i?; that is, the de- 
parture, or Easting and Westing, is the measure of the sine of the course, 
and the Northing or Southing is the measure of its cosine. 

Page 38. Example. State House to Blue Hill = S. W. 14° 24' 21".19. 
Distance = 54956.13. 

B=14° 24' 21".19 Log. Sin. = 9.3958318 Cos. = 9.9861255 

= 54956.13 Log. =4.7400161 Log. = 4.7400161 

Departure = i = 13672.50 Log. = 4.1358479 Lat. = c = 53228. 18 Log. = 4.7261416 

corresponding with the numbers given in the table. In this manner, all 
the latitudes and departures have been computed, both in Table 1 and 
Table 2 of each section. Table 2 differs from Table 1 only in having the 
distances from the station to the object observed left out. It may be sup- 
plied from the two legs of the right-angled triangle, which are given by 
transposing either of the preceding formula;, viz. : (3) a := ^^^ ; or, (4) 



Page 43. Example. The bearing of Bunker Hill Monument* from the 
State House is given N. E. 6° 46' 14"; Northing, 6625.94 feet. Required, 
the distance. By formula (3) a = 'ij^^b 

c = 6025.94 =3.8212475 

J5 = 6° 46' 14" Cos. = 9.9969607 
a = distance = 6672.47 = 3.8242868 

The same result would be obtained by dividing the Easting by the sine of 
the course, as in formula (4) a = -g — ^ 

The angles may be deduced from the bearings m either Table 1 or 2, or 
both combined, as the case may be ; thus, it is required to know the angle 
at Blue Hill, between Wachusett Mountain and Holt's Hill. 

Page 29, we find Blue to Wachusett = N. W. 63° 54' 3G".58 

Blue to Holt's = N. E. 00° 47' 51".93 

Angle required = 64° 42' 2S".51 

* The name of the town in which the object is situated precedes the name of the object. The reader will 
therefore look for Charlestown. 



INTRODUCTION. 



What is the angle at Blue Hill, between the State House and Prospect 
Hill, Hingham ? 

Blue to State House* =: N. E. = 14° 24' 21".19 
Blue to Prospect, Hingham, S. E. = 8 4° 19' 3r)^'.0Q 

1 80° — 9 8° 43' 56". 19 
Angle required = 81° IG' 03".81 
In this case, both courses are on the same side of the meridian, one North 
and the other South ; their sum deducted from 180°, is, therefore, the angle. 
Required the angle at INahant station, between Blue Hill and Cohasset 
Church. Page 34, Table 1, we find 

Nahant to Blue Hill = S. W. 33° 35' 31" 
and page 43, Table 2, 

Nahant to Cohasset Church = S. E. 25° 24' 49" 

59° 00' 20" = angle required. 
Fractions of seconds may be rejected, in all ordinary cases, where these 
tables will probably be used. 

Of the columns of Southings and Westitigs in Tables 3 and 4. 

Tables 3 and 4 contain, in the first two columns, the Southings and 
Westings of every station and secondary object in the section from the 
Northeastern-most point in it, viz. : Salisbury Marsh in the N. H. State 
Line. They arc constructed from the Northings, Southings, Eastings, and 
Westings of the first two tables, in the following manner : Salisbury Marsh 
is called Zero, and all the other stations are South, and nearly all, West of it. 

On Page 36, we find Prospect Hill, Rowley, to Salisbury Marsh, N. E. 
17° 28' 26"; the Northing = 60737..53 ; Easting = 19120.12. Prospect 
Hill is, therefore, S. and W. of Salisbury Marsh by these quantities, and 
they are registered accordingly in Table 1. 

On Page 35, we find Powow Hill to be 2255.80 South, and 31574.40 
West of Salisbury Marsh ; and also on Page 36, we find Powow Hill to be 
58481.13 North, and 12454.76 Westf of Prospect Hill, Rowley. But the 
latter station is 60737.53 South, and 19120.12 West of Salisbury Marsh ; 
therefore, 

60737.53 19120.12 

— 58481.13 + 1 2454.76 

Powow Hill S. = 2250.40 W. = 31574.88 of Salisbury Marsh. 

The mean between tliis result and that obtained directly from the Zero Point 
is registered as in Table 3, the true Southing and Westing of Powow Hill. 

* The reader will observe, that he cannot find the stations, in the Tables, named in the order they are here 
quoted ; — he will therefore in this case, and in all simil.ir cases, look for them reversed. For example : the 
course from Blue Hill to the State House caiuiol he found in the Tables, but the course from the Slate 
House to Blue Hill can j — the reader, therefore, has only to reverse that course, which will be the course 
required. 

t By a typographical or clerical error, this bearing has been printed N. E., it should be !V. W. 



INTRODUCTION. XI 

In the same manner, all these three points are then brought to bear upon 
the position of Railcut Hill, in Gloucester, which being East of Salisbury 
Marsh, has the inimis or negative sign prefixed in the column of Westings, 
in Table 3, (thus, —46325.96) signifying that it is 46325.96 feet East of 
the meridian of Salisbury Marsh (parallel to the prime meridian). 

Proceeding thus from station to station, we have, in the end, the mean 
relative positions of every point in the Section, referred to one Zero Point, 
and now so connected together as to allow us to change this Zero Point at 
will. In Section I, the Zero Point is the S. W. corner of the State, and all 
the others are North and East from it ; in Section V, the stations are all 
South and East of the Zero Point, but the principle of construction and 
iise is the same in all, only difl'ering in the mode of its application. This 
table requires much labor in the preparation, and great care in combining 
the means of the relative positions so as to produce the most accurate re- 
sult, and, once formed, it is the most important table of all ; since from it 
the whole of the others may be reproduced. 

It may be used to determine the direction and distance between any two 
points in the same section, whether visible from each other or not. 

Example 1. 
What is the direction and distance from the State House, in Boston, to 
the New Bedford Court House? 

Page 56. N. B. Court House S. of Sal. Marsh = 450996.10 W. of do. =28950.07 
Page 58. State House S. of do. = 1&7269.65 W. of do. = 65251.09 

Dif. = S. =263726.45 Diff. E. = 36301.02 

These differences are the legs of a right-angled triangle, of which the di- 
rection is one of the angles, and the distance the hypothenuse. Using the 
notation before given, we have, by the rules of Trigonometry, (5) Tang. 

^ = 4 and by (4) a = ^ 

N. B. Court House E. of State H.=*= 36301.02 Log. = 4.5599188 Log. = 4.5599188 
do. S. of do. =c =263736.45 Log. = 5.4211530 



Direction = J? =7° 50' 14" Tang. = 9.1387653 Sin. =9.1346896 

Distance a =266213.00 Log. =5.4252292 

Example 2. 

What is the direction and distance from Bunker Hill Monument to 
Boston Light ? 

Page 54. Boston Light S. of Sal. Marsh = 198240.05 W. of do. 18318.83 

Page 60. Bunker Hill Monument S. of do. =180643.75 W. of do. 64164.78 

Dim S. = 17596.30 E. = 46145.95 
Boston Light E. of B. H. Monument = J = 46145.95 = 4.6041336 

do. S. of do. = c = 17596.30 = 4.24542 1 4 =4.2454214 

Direction S. E. = B = 69° 07' 38" Tang. = 0.4187122 Cos. =9.5518970 

Distance = a = 49377.00 = 4.6935244 



XU INTRODUCTION. 

The foregoing problem may be made useful in almost every case in 
which these tables may be used. In order to render more plain the above 
formula, it is given, also, in the form of a proportion, and a rule for work- 
ing it by Logarithms is added. 

For finding the direction and distance between any places named in 
Tables 3 and 4. 

(1) c : Radius : : b : Tang. B 

(2) Cos. B : c : : Radius : a 

(3) Sin. B : b :: Radius : a 

Rule. For the direction or course. From the Log. of the departure 
(Easting or Westing,) subtract the Log. of the latitude (Northing or South- 
ing;) the remainder will be the Log. Tangent of the course, (parallel to 
the meridian on which the section is based.) 

For the Distance. From the Log. of the latitude subtract the Log. Cosine 
of the course, the remainder will be the Log. of the distance ; or, from the 
Log. of the departure subtract the Log. Sine of the course, the remainder 
will be the Log. of the distance, as before. 

On the Convergence of Meridians. 

Hitherto, we have considered all the courses as parallel to the central 
meridian on which each section is based; but, as all meridians converge to 
the poles of the earth, a correction must be applied to every course, com- 
puted as above, to obtain the true direction of the meridian. This cor- 
rection varies with the latitude, and may be calculated to a very close 
degree of accuracy by the following formula : — 

(6) Tang. ^ C=Sin. L Tang. J P, 

in which Z, == latitude ; P = difference of longitude between central sta- 
tion and that for which the convergence is required ; C = angle of 
convergence between meridian of central station and that of the observer. 

Example. "What is the convergence of the meridian of Hyannis Station, 
in Barnstable, with the meridian of the State House ? 

Page 7L Lat. of Hyannis Station = 41° 37' 53".36 : Long.=70° 18' 42".92 

Long, of State House = 71 04 09 .00 

Diff. of Long. = P, 45 26 .08 

L = 41° 37' 53".36 ; Sin. = 9.8223885 

i P = 22 43 04 ; Tang. = 7.S200S97 



C=30'H".04; i C= 15 05.52; Tang. = 7.6424782 



INTRODUCTION. 



XUl 



The angle of convergence of any two meridians, in any part of the State, 
may be more readily ascertained from the following table : — 



Lat. 


Feet of 
Dep. in I" 
of conv. 


Logarithms. 


Diff. 


Lat. 


Feet of 
Dep. ill 1" 
of conv. 


Logarithms. 


Dif. 


Lat. 


Feet of 
Dep. in I" 
of conv. 


Losarilhma. 


Diff. 


/ 








o / 








o / 








« 16 


115.701 


2.0633365 


- 


41 48 


113.555 


2.0552032 


5078 


42 20 


111.452 


2.0470870 


5068 


18 


.565 


28275 


5090 


60 


.422 


46955 


5077 


22 


.322 


65802 


5068 


20 


.430 


23186 


5089 


52 


.289 


41878 


5077 


24 


.192 


60735 


5067 


24 


.295 


18098 


5088 


54 


.157 


36802 


5076 


26 


111.062 


55668 


5067 


24 


.160 


13011 


5087 


56 


113.025 


31726 


5076 


28 


110.933 


60602 


5066 


26 


115.025 


07925 


5086 


41 58 


112.893 


26651 


5075 


30 


.804 


45536 


5066 


28 


114.890 


2.0602840 


5085 


42 00 


.761 


21577 


5074 


32 


.675 


40471 


6065 


30 


.756 


2.0597756 


5084 


02 


.629 


16503 


5074 


34 


.546 


35406 


5065 


32 


.622 


92673 


5083 


04 


.497 


11450 


5073 


36 


.417 


30342 


5064 


34 


.488 


87591 


5082 


06 


.366 


06358 


5072 


38 


.288 


25279 


5063 


36 


.354 


82509 


5082 


08 


.235 


2.0501287 


5071 


40 


.160 


20216 


5063 


38 


.220 


77428 


5081 


10 


112.104 


2.0496216 


5071 


42 


110.032 


15154 


5062 


40 


114.087 


72348 


5080 


12 


1I1-.973 


91146 


5070 


44 


109.904 


10092 


5062 


42 


113.954 


67268 


5080 


14 


.874 


86076 


5070 


46 


.776 


2.0405030 


5062 


44 


.821 


62189 


5079 


Ifi 


.712 


81007 


5069 


48 


.648 


2.0399969 


5061 


41 4C 


113.688 


2.0557110 


5079 


42 18 


111.582 


2.0475933 


5069 


42 50 


109.520 


94908 


5061 



The second column of this table gives the number of feet of Easting or 
Westing in one second of convergence, i. e. in lat. 42° 00', for every 112.761 
feet of departure made on any course, that course will change 1" ; for twice 
that distance it will change 2" ; and for 60 times that distance, or 6765.66 
feet, the course will change one minute. 

When the point at which the true bearing is required is east of the prime 
meridian, the correction for convergence is additive to the N. E. and S. W. 
courses, and subtractive from those which are N. W. and S. E., and vice 
versa when the point is wesl of the prime meridian. 

Example 1. 

Page 38. The bearing from the State House to Prospect Hill, Waltham = 
N. W. 77° 47' 13".25. What is the true direction from Prospect Hill to 
State House 7 

Page 38. Westing of Prospect Hill from S. H. =51349.61= 4.7105372 

Page 57. Approx. Lat. of do. = 42° 23' 20". Tab. Log. = 2.0462424 

Angle of convergence at Prospect Hill= 7' 41."63 = 461".63 =2.6042948 
77° 47' 13".25 + 7'41".63 = 77° 54' 54".88, S.E. = true bearing, 
c 



XIV INTRODUCTION. 



Example 2. 
A surveyor in Hopkinton wishes to know the true bearing of a line from 
Hopkinton Church to Siierburne Church, that he may determine the varia- 
tion of his compass. 



Page 64. Sherburne Church S. of Sal. Marsh = 229853.64 
Page 61. Hopkinton Church S. of do. =2338 23.16 

Diff'. N. = 3969.52 



W. of do. = 148290.67 
W. of do. = 188585.63 



Diff. E. = 40294.96 



By For-> Sherburne Ch. E. of Hopkinton Ch. = i = 40294.96 =4.6052508 

mula(5.)5 Do. N. of do. =c= 3969.52 =3.5987380 

Direction N. E. (par. to prime meridian,) = B= 84° 22' 26" Tang. = 1.0065128 

Hopkinton Church W. of Salisbury Marsh =188585.63 

State House W. of do. = 65251.09 

Hopkinton Church W. of State House =123334.54 =5.0910847 

Page 61. Approx. Lat. of Hopkinton Church = 42° 13' 47. Tab. Log. =2.0480625 

Angle of convergence at Hopkinton Church = 18' 22". 61 = 1102".61 =3.0424222 

84° 22' 26" — 18' 23" = 84° 04' 03" = true bearing N. E. 
The difference between this course and that given by the compass would be the magnetic 
variation of that compass at Hopkinton. 

Ex.iMPLE 3. 

Page 46. Prospect Hill, Waltham, to Hopkinton Church, S. W. 51° 
18' 07", (par. to prime meridian.) What is the true bearing at each end? 

S.W. 51° 18' 07"— 7' 42"* = 51° 10' 25" S. W. = true course Prosp. Hill to Hopkinton Ch. 
N. E. 51° 18' 07"— 18' 23" = 50° 59' 44" N. E. do. Hopkinton Ch. to Prosp. Hill. 

In this manner, the direction of the true meridian may be determined at 
any point given in these Tables. The difference between the magnetic 
bearing of any line and its tabular bearing, corrected for convergency, will 
be the magnetic variation of the compass at the time and place of observa- 
tion. As it is important that the method of applying the correction for 
convergency should be clearly understood, an example in each section is 
added. 

Example 4. 

Page 1. Section I. Dug Hill, in Blandford, to Mount Tom = N. E. 
80° 43' 00".39, (parallel to prime meridian.) What is the true bearing at 
Dug Hill ? 

Page 9. Dug Hill E. of S. W. corner of State = 157727.33 
French's Hill E. of do. =131437.45 

Dug Hill E. of French's, = 26289.88 = 4.4197887 

Page 9. Approx. Lat. of Dug Hill = 42° 12' 25". Tab. Log. = 2.0490090 
Angle of convergence at Dug Hill = 3' 54".84 = 234".84 = 2.3707797 
80° 43' 00".39 -f 3' 54".84 = 80° 46' 55".23 N. E. = true bearing required. 

* The angles of convergence are taken from Examples 1 and 2. 



introduction. xv 

Example 5. 
Page 22. Sect. II. Wachusett Mountain to Worcester Unitarian Ch. = 
S. E. 16° 30' 20", (parallel to prime meridian.) What is the true bearing 
at Worcester Church 1 

Page 24. Tuft's Hill W. of Pepperell = 133776.60 

Page 27. Worcester Church W. of Pepperell = 56933.00 

Worcester Church E. of Tuft's Hill = 76843.60 = 4.8856077 
Approx. Lat. of Worcester Church = 42° 16' 13". Tab. Log. = 2.0480458 
Angle of convergence at Worcester Ch. = 11' 28" = 687".96 = 2.8375619 
16° 30' 20"— 11' 28" = 16° 18' 52" N. W. = true bearing required. 

Example 6. 

Page 68. Sect. V. Sampson's Hill to Nantucket south-towered Ch. = 
71° 43' 55", S. E. (parallel to prime meridian.) What is the true direction 
at Nantucket Church ? 

Page 71. Nantucket south-towered Ch. E. of Telegraph Hill = 162929.91 
Hyannis Station E. of do. =105783.39 

Nantucket Church E. of Hyannis Station = 57146.52 = 4.7569897 

Page 71. Approx. Lat. of Nantucket Church = 41° 16' 57". Tab. Log. = 2.0630947 
Angle of convergence at Nantucket Church = 8' 14". 19 = 494". 19 = 2.9638950 
71° 43' 55" — 8' 14" = 71° 35' 41" N. W. = true bearing required. 

The primary and secondary trigonometrical lines given in these Tables 
are so numerous, and may be multiplied to such an extent by means of 
Tables 3 and 4 of each section, that surveyors, in almost all cases, may 
find some line in their immediate neighborhood, on which a compass may 
be placed to determine the variation. It may happen, however, that local 
attraction of the magnetic needle exists at the point selected for this pur- 
pose. To detect it, let the surveyor observe the bearing of some object, 
witliin half a mile of his instrument, making an angle of about 60° with 
the trigonometrical line on which his compass is placed ; then the bearing 
of another object, making an angle of about 120°, and so around the hori- 
zon, carefully noting the bearings of objects about 60° apart. Although 
the compass may not give the true magnetic bearings of the points observed 
• upon,U will give the angles sufficiently correct between them and the trig- 
onometical stations. The true astronomical bearings of these points may 
then b^educed from the angles, as has been before explained. This done, 
let the 3rveyor place a conspicuous mark at the place occupied by his 
instrumet and, going to the different objects observed upon, take the 
magnetic \aring at each of the central stations he has left. The magnetic 
variation oJuced from all these bearings, taken at different points, should 
be very nes^he truth.* 

* Magnetic variation may be best determined about 10 A. M. 



XVl INTRODUCTION. 

Example. 
In Example 2 of the paragraph on convergence on meridians, the true 
bearing of a Hne from Hopkinton Church to Sherburne Church, was foimd 
to be N. 84° 04' E. A surveyor finds its magnetic bearing to be S. 89° 20' 
E., giving a magnetic variation of 6° 36' West. Knowing the variation to 
be more, he suspects local attraction, and, to detect it, takes the following 
bearings to objects from a third to half-mile distant, his compass standing 
at a point which we will call A, in the line between the two churches and 
near the western one. 

Magnetic. True. 

1. To a poplar tree, = S. 31° 44' E. + 6° 36' = S. 38° 20' E. 

2. To a chimney of white house, = S. 35 25 W. — 6 36 = S. 28 49 W. 

3. To a yellow birch at corner of fence, =N. 28 00 W.-|- 6 36 = N. 34 36 W. 

4. To a guide-board at corner of road, = N. 26 43 E. — 6 36=N.20 07 E. 

Then placing a signal at A, and going to each of these points, he takes 
the following magnetic bearings : 



1. 


Point A, 


from poplar tree, 




= N. 28° 52' W. Mag. 


var. = 9° 28' 


2. 


" A, 


from white house, 




= N. 38 15 E. " 


" =9 26 


3. 


" A, 


from yellow birch. 




= S. 25 15 E. 


" =9 21 


4. 


" A, 


from guide-board. 




= S. 29 36 W. 


" =9 29 








Mean 


magnetic variation. 


= 9 26 West. 






Showing local attraction* at A, amounting to 2° 50'. 





The "Three-point Problem" may be used to such great advantage in 
connection with these Tables, that a concise explanation of the mode of 
working it, with an example, may not be out of place. 

If. At a point P, (see figure,) from whence I could see 
three points A, B, C, forming a triangle, the elements 
(i. e. the angles and sides) of which are known, I meas- 
ured the angles APC and CPB. It is hence required to 
determine the direction and distance of my station P 
from each object. 

Let ^C = a; BC = b- BCA = C; APC=P; ana' 
CPB = P'- alsomake R ^360°— P—P'—C; x^CAP, and y= PBC. 
Then will 

(7) Cot.a; = Cot.R.{,,^^^^£^^ + l); and (S) y = I-x. 

For an investigation of these formnlse, the reader is refrred to Gal- 
braith's Mathematical Tables, pages 47 to 50, or to the wor** of Gregory 
and Lacroix, on Trigonometry. A good method of consuction may be 

• This example is hypothetical ; the writer has no reason to suppose tlial local altrao'" ^^'^'s at Hopkinton. 




INTRODUCTION. XVll 

found in Malortie's Topography, or in Alexander's edition of Simms on 
Mathematical Instruments and Surveying, (Ed. of 1844, Baltimore, F. Lu- 
cas, publisher.) 

The use of these formulae need not be embarrassing if care is taken in 
properly applying the signs of Cos. and Cot. R. When R is less than 93°, 
both Cos. and Cot. a.xe plus ; between 90° and 180°, both are minus ; be- 
tween 180° and 270°, the Cos. is minus, and-^ie Cot plus; between 270° 
and 360°, the Cos. is plus, and the Cot. nanus. 

Example. 
At a point P, near *Jne new Observatory in Cambridge, the following 
angles were me^osured, viz : 

Bunker Hill Monument and State House = 20° 05' 53" = P 
State House and Roxbury Church = 35 06 08 = P' 

It is hence required to determine the direction and distance of the point 
of observation from each of these places. 

The data required from the Tables will be. 



X 



b ^ State House to Roxbury Church, ^ ment = C. 

The distances must be computed by formula (3) or (4), and the angle C 
obtained from the bearings given in the Tables. 

P. 43. State House to B.H. Monument = N.E. 6° 46' 14" = 5. Cos. = 9.9969607 ^Byfor- 
" Northing = 6625.94 = c. = 3.8212475 ( mula 

Distance State House to Monument = 6672.47 = a. =3.8242868) (3). 

P. 50. State House to Roxbury Ch. = S. W. 34° 22' 52" = B. Cos. = 9.9166117 ^ By for- 
" Southing = 10301.11 =c. = 4.0128840 \ mula 

Distance State House to Church = 12481.66 =i. =4.0962723) (3)-* 

C = 180° — 34° 22' 52" -f- 6° 46' 14" = 152° 23' 22" 
P-\-P' = 55 12 01 

C+P + P' = 207 35 23 

360 00 00 
360°— C — P — P> = R = 152 24 37 

The above comprises all the data required in the calculation of formula 
(7). R being in the second quadrant, (between 90° and 180°,) both Cos. 
and Cot. are minus. To save labor and space, the arithmelical comple- 
ments of the Logarithms of the terms {b. Sin. P. Cos. R') are added to the 
Logarithms of (a. Sin. J°'), instead of subtracting the Logarithms them- 
selves. The result is, of course, the same. 

* Substituting b Tor a. 



XVlll 



INTRODUCTION. 



a = State Kouse to B. H. Monument = 6672.47 

6 = State House to Roxbury Church = 12481.66 

P'= State House and Roxbury Church = 35° 06' 08" 

P = Monument and State House = 20 05 53 

J? =200- — c — P — P' = 152 24 37 

a.Sin.P 



Log. = 3.8242868 

Ar. Co. Log. = 5.9037277 
Sin. = 9.7596958 

Ar. Co. Sin. = 0.4639117 
Ar. Co. Cos. = — 0.0524258 



i. Sin. P'. Co.?. R 



a. Si.i. P 



h. Sin. P'. Co9 



Th+' 



Adding 1, 



R: 



— 1.009364 

+ 1: 

= — 0.009364 

152° 24' 37" 
618 58 24 



By formula (8) 



= — 0.0040478 

Log. = — 7.9714614 
Cot. = — 0.2818647 
Cot. =4-8.2533261 



y = 63 26 J 3 

X in this case = Angle at Monument between State House aind Station P. 
y " " = Angle at Roxbury Church between Station P and" .State House. 

In each of these triangles we have now given two angles and a side to 
find the rest. 



Triangle Bunker Hill Monume7it, State House and Station P. 



As Sin. of Angle at P = P = 20° 05' 53" 

Is to distance State House to Monument = 6672.47 
So is Sin. of Angle at State House = 70° 55' 43" 

To distance Monument to Station P =: 18352.00 

^^^;^^ or sum of first two Log's, 
Angle at Monument —x =88° 58' 24" 

Distance State House to Station P = 19414.62 



Ar. Co. = 0.4639117 

Log. = 3.8242868 

= 9.97548 34 

= 4.2636819 

= 4.2881985 

Log. Sin. = 9.9999303 

4.2881288 



Triangle Roxbury Church, State House and Station P. 



As Sin. of Angle at P = P' = 35° 06' 08" 

Is to distance State House to Roxb. Ch. = 12481.66 
So is Sin. of Angle at State House = 81° 27' 39" 

To distance Roxbury Ch. to Station P = 21465.21 

BC 



Bin. BPC 

Angle at Roxbury Church = y 

Distance State House to Station P = 19414.63 



or sum of first two Log's, 

= 63° 26' 13" 



Ar. Co. = 0.2403042 
= 4.0962723 
= 9.9951588 
= 4.3317353 

= 4.3365765 
= 9.9515525 
= 4.2881290 



The bearings State House to Monument, and State House to Roxbury 
Church, combined with the angles deduced by calculation, give us the 
following directions, viz : 

1. Bunker Hill Monument to Station P = N. W. 84° 15' 22" 

2. State House to Station P = N. W. 64 09 29 

3. Ro.xbury Church to Station P = N. W. 29 03 21 

The second of these directions will sufiice on as short a line, and we 
shall have, by formula (I) and (2), 



INTRODUCTION. 



XIX 



B = 64° 09' 29" 

a = 19414.62 

Departure = b= 17473.24 



Log. Sin. = 9.9542445 
Log. = 4.2881289 

Log. = 4.2423734 



Cos. = 9.6393683 

= 4.2881289 

Lat. = c = 8462.48 = 3.9274972 



P.58. Tab. 4. State House S. of Salisbury Marsh = 187269.65 , W. of do. = 65251.09 
Northing, Station P from State House =—8462.48; Westing =+ 17473.24 

Station P South of Sahsbury Marsh =178807.17; West of do. = 82724.33 

And thus we have finally the means of determining the direction and dis- 
tance from P to any other point in the section, as has been before explained. 

There are three positions which may be taken for the point P, in all of 
which formula (7) will give an accurate result ; 1st, that shown in the 
figure, where the point of observation P is outside of the known triangle 
ABC] 2d, where P is inside the triangle; 3d, where P is outside, but 
Station C is reversed, so that the line PC will no where intersect the line 
AB. In all these cases, ACBP should be considered as forming a quadri- 
lateral of which we know two sides a and b, and two angles (P -|- P') and 
C. Therefore their sum from 360 = i? = a- -j- y, either of which being 
known, all the rest may be found by the ordinary rules of trigonometry. 
In the third case, care should be taken in deducing R, to use the exterior 
angle at Cin the triangle ABC] i. e. its complement to 360°. 

The three-point problem is indeterminate when P falls upon the periphery 
of a circle passing through ABC. A case of this nature in practice is of 
rare occurrence ; but, to guard against it, an angle might be measured to a 
fourth trigonometrical point, if one can be seen ; or it may readily be de- 
tected by a geometrical construction of the figure. 



We now proceed to give an example of computing the bearings and dis- 
tance between points, of which we have no other data respecting their 
relative position than their Latitudes and Longitudes. For this purpose 
we select the Southwest corner of the State and Chatham South Light. 

Let P = the angle at the pole, or ditference of Longi- 
tude ; b = Co. Lat. of the Southwest corner of the 
State ; a = Co. Lat. of the Southwest corner of the 
State -[- the difference of Latitude of the points chosen 
in an arc corresponding in value with the perpendicular 
degree for the Latitude of the Southwest corner of the 
State. Then, by Spherical Trigonometry, determine the 
angles A and B and the side /;. The angle A being 
greater than 90°, its supplement will be the course from 
the Southwest corner of the State to Chatham South 
Light ; the angle B being less than 90°, will be the 
course from Chatham South Light to the Southwest cor- 
ner of the State. 




XX 



INTRODUCTION. 



The side p having been determined in an arc of the value of the perpen- 
dicular degree, may be readily reduced to feet, and, of course, to any other 
measure of length required. The above operations, when performed, will 
give results sufficiently accurate for all common purposes. But, if greater 
accuracy is required, we may assume a second spherical triangle, as fol- 
lows, viz. : P = the angle at the pole will be the same in both cases. Let 
the side a^the Co. Lat. of Chatham S. Light, and the side 6=a minus 
the difference of Lat. in an arc corresponding in value with the perpendic- 
ular degree for the Lat. of Chatham S. Light. Then by spherical trigo- 
nometry, with these new elements, re-determine the angles A and B, and 
the side p, and a mean of the angles and sides thus determined, will ^ive 
the result very nearly exact. 

The following example will show the details of the operation: — 



Calculations of the Bearings and Distance from the Sonthv)est corner of 
the State to Chatham South Light. 

Page 10. Lat. of the S. W. corner of the State, 42° 02' 59". 54 Long. 73° 31' 42".66 
" 71. " " Chatham South Light, 41 40 16 .16 " 69 57 12 .89 

Difference of Latitude =00 22 43 .38 Long.= 3 34 29 .77 = i' 

FORMUL.*;. 



Tang.K^+5): 



■ Cat 1 P f"os4^D0 b) . 



Tang. l{Aai B)=Goi.\ P. 



, p Sm.J{aMA) 



■Sm.i(«+A) 

First. To find the difference of Latitude in an arc of the value of the 
perpendicular degree for Latitude of the Southwest corner of the State, 
we have, 



Difference of Latitude = 1363". 38 

Value of a minute for a mean of Latitudes of S. W. "j 

corner of State and Chatham Lights, . . I = 6072.1437 ft. 
Taken from Table B, for facilitating the calculation f 

Latitude and Longitude, . . . . J = 60" Ar. Co. 

Log. value of 1", from Table C, of perpendicular 

arcs for Lat. of S. W. corner of the State, 
Difference of Latitude in an arc corresponding in 

value with the perpendicular degree, for Lat. )= 0.22' 39" = 1359" 

S. W. corner of the State, 



. >=0.S 



Log. = 3.1346169 

Log. = 3.7833421 

Log. = 8.2218487 
Ar. Co. Log. = 7.9934088 

^ 

Log. = 3.1332165 



i = 47° 


' 57' 00".46 








i-|-22' 39" = u = 48 


19 39 .46 








a-(-A = 96 


16 39 .92 








a w i == 00 


22 39 .00 








4(a + J)=48 


08 19 .96 


Ar. 


Co. Cos. 


= 0.1756611 Ar. Co. Sin. = 0.1279810 


4(aM J) = 00 


11 19 .50 




Cos. 


= 9.9999976 Sin. = 7.5177636 


h P = 1 


47 14 .88 




Cot. 


= 11.5057438 Cot. =11.5057438 


J(4-|-B)=88 


48 25 .03 




Tang. 


= 11.6814025 h{AviB) = 

8° 04' 02". 25 = Tang. = 9.1514884 


i(Ac/3i?)= 8 


04 02 .25 









A = 96 52 27 .28 
B = 80 44 22 .78 



INTRODUCTION. 



XXI 



Sin. i. Sin. P 



or Sin./): 



To find ». Formula Sin. » = ' ^^ jg^ 

^ ^ Sin. is 

Ar. Co. Sin. = 0.0056972 
Sin. = 9.8707332 
Sin. = 8.7948638 
Sin. = 8.6712942 



Sin. a. Sin. P 



Sin. 4 
B = 80" 44' 22".78 
i =47 57 00 .46 
P = 3 34 29 .77 
■p = 2 41 20 .07 
p in sec. = 9680".07 Log. = 3.9858786 

Value of 1" in feet, Log. = 2.0065912, taken from Table C, for Lat. of S. W. 
f in ft. = 982810.4 ft. = Log. = 5.9924698 [corner of State. 



We thus find that the Southwest corner of the State bears from Chatham 
South Light, N. W. 80° 44' 22".78 ; and that Chatham South Light bears 
from the Southwest corner of the State, S. E. 83° 07' 32".72. But when 
greater exactness is required, we make the second calculation described 
above. Thus in this instance, making use of the same symbols used in the 
preceding, we have 

a = Co. Lat. Cliatham South Light = 48° 19' 43".84 

Difference of Lat. in seconds = 1363". 38 Log. = 3.1346169 

Value of a minute for a mean of the Lat. = 6072.143 feet. Log. = 3.7833421 

60" Ar. Co. Log. = 8.2218487 

Log. value of 1" of a perpendicular degree for Latitude of 

Chatham South Light, Ar. Co. Log. = 7.9934172 
Diff. of Lat. in sec. of perp'r arc, 22' 39".02 = 1359".02 = Log. = 3.1332249 

a=48°19'43".24 
a— 22'39".02 = i = 47 57 04 .22 



a-\-h = 96 16 47 .46 
a en 6 = 00 22 39 .02 
4(fl+i)=48 08 23 .73 Ar. Co. Cos. = 0.1756700 



4(acnA)= 11 19 .51 
4 P = 1 47 14 .88 

i{4+B)=88 48 25 .12 



h[A mB)= 8 04 02 .20 
A = 96 52 27 .32 
B . = 80 44 22 .92 



Cos. = 9.9999976 

Cot. =11.5057438 

Tang. = 1.6814114 



Ar.Co.Sin.= 0.1279739 
Sin. = 7.5177700 
Cot. = 11.5057438 
4(Am5) = 



8° 04' 02".20 Tang. = 9.1514877 



Sin. = 9.8707399 
Sin. = 8.7948638 
Sin. = 8.6753008 



To find y, we have B = 80° 44' 22".92 Ar. Co. Sin. = 0.0056971 
J = 47 57 04 .22 
P = 3 34 29 .77 
p = 2 41 20 .22 

p in seconds, 9680".22 Log. = 3.9858852 
Value of one second in feet, Log. = 2.0065828 
p in feet = 982806.4 feet. Log. = 5.9924680 

Therefore, 



XXll INTKODUCTION. 

We have by the first result, A = 96° 52' 27".28 
second do. A = 96 52 27 .32 
From a mean we find A = 96° 52 27 .30 

We have by the first result, B = 80° 44' 22".78 
second do. B = 80 44 22 .92 
From a mean we find B = 80° 44' 22". 85 

We have by the first result, p = 982810.4 
second do. p = 982806.4 
From a mean we find p = 982808.4 ft. = to 186.138 miles 

From the preceding results, we find the bearing from the Southwest cor- 
ner of the State to Chatham South Light, to be S. E. 83° U7' 32".70 

The bearing from Chatham South Light to the Southwest corner of the 
State, to be N. W. 80° 44' 22".S5 

In the following Tables of the result of the Trigonometrical Survey, 
there are many points whose Northings or Southings, Eastings or West- 
ings (according to the notation of the section in which they are situated), 
are given in feet ; their Latitudes and Longitudes having never been calcu- 
lated ; and inasmuch as it seems to be necessary to know the Latitudes and 
Longitudes of such stations, in order to obtain the bearing and distance be- 
tween them, it may not be amiss to give an example of the mode of calcu- 
lation. 

Suppose it was desirable to know the bearing and distance between Blue 
Hill station, situated in the third section of the survey, and the Holyoke 
House, situated in the second section. By examining Table 4, Section II, 
it will be seen, that the Latitude of Holyoke House has never been calcu- 
lated ; neither can there be found, in the Tables of Section II, the Southing 
and Westing of Blue Hill station, computed from the meridian and paral- 
lels to the meridian of Tuft's Hill. By an examination of Table 3, Section 
HI and IV, the Latitude and Longitude of the Blue Hill station will be 
found, but the Southing and Westing of Holyoke House cannot be found in 
these Tables. It therefore becomes necessary to know the Latitude and 
Longitude of Holyoke House, as one of the elements to be used in the cal- 
culation. 

To compute the Latitude of Holyoke House, we have, from Table 3, 
Section II (page 24), the Southing and Westing of a point from which to 
calculate the Latitude and Longitude of the section (which point we gen- 
erally designate as the Cardinal pouH, and shall so call it in the calculations 
which we arc about to introduce). We also have, from Table 4, Section 
II (page 25), the Southings and Westings of Holyoke House. 

To ascertain the bearing from the Cardinal point to Holyoke House, sub- 
tract the Log. of the difl'erence of Southing from the Log. of the difference 
of Westing, which gives the Tangent of the course. Thus, 



\c 



INTRODUCTION. XXUl 

Southingof Card'l Pt. (p. 24) = 126229.50 Westing of do. = 133777.43 
" of HolyokeH.(p. 25)= 148860.03 " of do. = 27 0004 .85 

HoIyokeH., S.of Card'l Pt. = 20630.53 West of Card. P.= 136227.42 Log. =5.1342645 

20630.53 Log. =4.3145104 
(1) Course from Cardinal Pt. to Holyoke H., S. W. 81° 23' 18".45 = Tang. = 0.al'J7541 

JP Having thus obtained the bearing from the Cardinal 

/ \ point to Holyoke House, we put P for the pole, C for the 

/ \ Cardinal point, A for Holyoke House, R for a point in the 

/ \ meridian of the Cardinal point, corresponding in Southing 

/ \ with the point A. 

I \ We now proceed to find the Latitude of R. 

We have found i? =20630.53 feet south of C, and from 
Table B (for facilitating the calculations of Latitude and 

aS'^- Ik Longitude), we find the mean logarithmic value of a second 

standing against the distance which nearest corresponds to the distance 
named above =2.00.52210, to which we may add 1 as its proportion of the 
difierence between this Log. and the preceding Log. of the Tables (the 
distance against the mean Log. second being about a thousand feet greater 
than the distance given above). We therefore have, 

20630.53 feet. Log. = 4.3145104 

Log. value of a mean second, Log. = 2.0052211 

Difference of Latitude in secon ds = 203".84 Log. 2.3092893 

0° 3' 23".84 
Latitude of C being = 42 21 30 
(2) " " R " = 42 18 06 .16 

If we now let -p represent the side opposite the polar angle in arc, we 
then have the Log. of AR minus Log. value of a second of a perpendicular 
degree in feet = Log. p in seconds. Thus, 

A west of J? = 136227.42 ft. Log. = 5.1342645 
From Table C, we find tlie Log. value of perp. second for Lat. iJ, Log. = 2.0065967 

■p in seco nds, 1341". 74 Log. = 3.1276678 

or = 0° 22' 21". 74 

We now have, Co. Tang. P = Co. Tang. p. Sin. a ; a = Co. Lat. R = 47° 41' 54".78 

p = 0° 22' 21".74 Cot. = 12.1867512 

a = 47 41 54 .78 Sin. = 9.8690052 

(3) P = 30 14 .08 Cot. = 12.0557564 

We have thus found the angle P or the difference of Longitude by Spher- 
ical Trigonometry, which probably gives it as accurately as the problem 
will admit. This method should be followed in all cases where the polar 
angle exceeds 35' ; but when the polar angle is less than 30' or 35', we may, 
with sufficient accuracy for every practical purpose, determine the polar 
angle by the following method, viz. : having determined the Latitude of R, 



XXIV INTRODUCTION. 

then, from the Log. of the difference of Westing of C and A, subtract the 
Log. vakie of polar seconds (from Table D) or differences of Longitude, 
and the remainder will be the Log. of the number of seconds and decimal 
parts of a second contained in the polar angle or difference of Longitude. 
Thus, for example, 

Difference of Westing of C A, Log. = 5. 1342645 
Tabular Log. (from Table D) for Lat. of R = 42° 18' 05". 16 = 1.8756052 

Difference of Longitude in seconds = 181409 Log. = 3.2586593 

(4) Difference of Longitude = 30° 14' 09", varying only 0".01 from the 

previous determination. 

I would here remark, that this method may be used for calculating the 
Longitude of any and every point which has not been heretofore calculated. 
Having thus obtained the polar angle and the Latitude of B, we might, by 
a solution of the right-angled spherical triangle PRA, find the length of the 
side PA, the complement of which will be the Latitude of A, sufficiently 
near for all practical purposes. Thus, 

Tan" . AP = . 

= Cos.P 

PR = 47° 41' 53". 84 Tang. = 10.0409659 

P = 30 14 .08 Cos. = 9.9999832 

Co. Lat. of A = AP = 47 41 57 .8 1 Tang. = 0.0409827 

(5) Lat. of .A =42 18 02 .19 

We have thus readily foimd a near approximate Latitude of .4 ; but if it 
is desirable to ascertain strictly the Latitude of A, the labor of calculation 
is somewhat increased. To determine the Latitude of A, strictly, we must, 
in the first place, find the distance AC. 

Let D = distance from C to A, and .8 = the bearing, W the Westing, N the Northing. 
Then D = , or i3 ^ 



Sm.Ji' Cos.B 

From Computation (1), we find W= 136227.42 Log. = 5.1342645 , 

£ = 81° 23' 18".45 Sin. = 9.9950761 

(6) D = 137780.7 ft. Log. = 5.1391884 

Having obtained the distance D, we assume a point .r in the meridian 
AP of the same Lat. as C. The distance xA and the angles AxC and 
xCA, in the small triangle AxC, being required, we find it convenient to 
determine the angles at x and C, in the spherical triangle xPC. To deter- 
mine the angles x and C, we have Cot.x=GotC^= Cos. PC. Tang. J P. 

PC = the complement of Lat. C= 47° 38' 30" Cos. = 9.8285080 

From (3) 4 p = 00 15 07 .04 Tang. = 7.6432041 

(7) a:=C=89 49 48 .87 Cot. = 7.4717127 

Having thus found the angles AxC and ACx, and substituting for AxC, 
x", and for ACx, C", the angle at A being the same in both triangles, we 



INTRODUCTION. XXV 

shall always represent it by an unaccented A ; we now have 180° — x=x", 
and 180°— [C+^ (from 1)]=C". 

(8) Thus, 180°— 89° 49' 48". 87 =90° W 11". 13 = a/'. 

(9) And 180°— [89 49 48 .87-J-81 23 18 .45] = 8° 46' 52".68 = C". 

Having proceeded thus far, it becomes necessary to calculate approxi- 
mately the area of the small triangle AxC, for the purpose of ascertaining 
the excess of the three angles of said triangle over 180°, that we may be 
able to calculate, according to the method of Legendre, the length of the 
side xA:* 

To compute the spherical excess, we have to find the approximate area 
of the small triangle ACx. Let iS^ area, a= the side xC, and 7?=^ the 
side J. C, and 6'=: the angle arC^. We then have <S'=^«p. Sin. C Com- 
puting by Logarithms ; from the Log. of the result we subtract the con- 
stant Log. = 9.3253871, and the Log. remainder = the spherical excess in 
seconds. 

Thus we find the difl'erence of Westing, which is a very near approxi- 
mation to 

a = 136227.42 ft. Log = 5.1342645 
And the distance p (from 6) = 137780.7 Log. = 5.1391884 

From (9), we have C" = 8° 46' 59".68 Sin. = 9.1837346 

2. Ar. Co. Log. = 9.6989700 
Ar. Co. of constant Log. = 0.6746129 

Spherical excess 0".67 Log. = 9.8307704 

The area of this triangle is so small, that, practically, we need not take 
any note of its spherical excess. I only introduce it for the purpose of 
explaining the process, when the areas of the triangles are of such magni- 
tude that this element could not be neglected without producing sensible 
error ; and, on that account, I shall proceed with the following calculations 
in the same manner as if Ihe spherical excess had amounted, as it frequently 
does in calculations of this sort, to 10" or 15". 

To correct the angles for calculating the side Ax, putting E for spherical 
excess, and representing the corrected angles by x' and C, with one ac- 
cent, we have 

it"— iJE= if = 90° 10' 11".13— 0".22 = 90° 10' 10".91, the corrected angle. 
C"—\E = C'= 8 46 52 .08— 0".22 = 8 46 52 .46 " " " 

And of course A = 81 02 56 .63 
180 00 00 .00 

* Legcndre's method of computing the sides of a triangle may be explained thus: — In every splierieal 
triangle the sum of the three angles will exceed 180° ; then, if each of the angles be dimiuishi.'d hy one third 
of this excess, the calculations may be performed the same as in plane trigonometry. 

In computing the constant Log., to be used in determining the spherical excess, I have taken a mean of 
the radii of the meridional and perpendicular degrees for the Latitude of the Cardinal point. The constant 
Log. thus deduced = 9.3253871. (See Rees's Cyclopedia, article f^pherical Excess ) 



XXVI INTRODUCTION. 

D.Sm.C 
Sin.x' ' 



We now have, for finding the side Ax ■■ 



a/ = 90° IC 10".91 Ar. Co. Sin. = 0.0000019 

C'= 8 46 52 .40 Sin. = 9.1837316 

' ly (from 6) = 137780.7 ft. = 5.1391884 

(10) Ax = Log. = 4.3229219 

We now look for the nearest corresponding Log. distance from the State 
House or Cardinal point South, in Table B, against which we find the mean 
Log. value of a second, which we subtract from the Log. of Ax, found 
above, and the remainder will be the Log. of the number of seconds which 
A is south of C, which, if subtracted from the Latitude of C, will give the 
Latitude of A correctly. Thus, 

(10) 4 j; = Log. =4.3229219 
Mean second from Table B, Log. = 2.0052210 * 

Diff. of Lat. of C and A, 207".83 Log. = 2.3177009 

Lat. C = 42° 21' 30" 
—207". 83 = — 03 27 .83 

Lat. A = 42 18 02 .17, which, it will be seen, differs only 0".02 from 

the Lat. obtained for A (5). 

The Longitude := Long, of the Cardinal point + P, if ^4 be situated West ; 
and — .Pj if yi be situated East of the Cardinal point. We therefore have, 

Long, of C= 72° 05' 24". 96 

-{-P= 30 14 .08 

Long, of Holyoke House, 72 35 39 .04 

I would here remark, that when R and A are situated North of C, their 
differences would become additive. The change in the operations necessary 
for finding the angles of the small triangle, which in that case will be North 
of the line Cx, will be obvious. 

Having, by the foregoing operations, obtained the Latitude and Longi- 
tude of Holyoke House, the bearings and distance to and from Blue Hill 
may be obtained by calculations similar to those by which we have obtained 
the bearings and distance between the Southwest corner of the State and 
Chatham South Liglit. 

The object of being thus minute and particular has been, to introduce 
the shorter or approximate methods of computing Latitude and Longitude, 
which will be found sufficiently accurate for most purposes; and also the 
more exact methods which should always be adopted whenever the area of 
the small triangle xAC shall be of sufficient magnitude to produce a spher- 
ical excess of one or two seconds to an angle. 

* In this instance, the Log. from the Table is exact lo the nearest unit, but, in most instances, the Tabular 
Log. of mean second will need increasing or diminishing by a proportion corresponding to the difference 
between the Tabular Log. and (he Log. obtained by calculation. 



INTRODUCTION. XXVll 

The foregoing methods of computing Latitude and Longitude necessarily 
require the accompanying Tables A, B, C, D, which are confined to a 
spheroid of particular dimensions, and are not, therefore, of general appli- 
cation ; it has therefore been deemed not amiss to add a general formula. 
The formula of Oriani, taken from page 270 of Galbraith's Mathematical 
Tables, has been selected as the most simple of any in use. 

Let a denote the radius of the equator = 20914728 ft. = 3961.123 miles. 
6, the semi-polar axis = 20854128 "= 3949.646 " 



e, the eccentricity :=: i/ - — ;; — = 1/ 1 



il = 0.07607 ft. 



B, the ellipticity = -^ = 0.0028933. 

M, the distance in feet, from the perpendicular to the meridian of the 

Cardinal point. 
P, the distance in feet to the meridian of the Cardinal point. 
Put m = — — — , p = — - — , and L the Latitude of the Card'l point. 

i.Sin.l"' ^ b.Sm.l"' '^ 

Let X be the Latitude of the foot of the perpendicular let fall from the 
given station on the meridian of the Cardinal point, 
ip, the required Latitude of the given station, and 
M, the Longitude of the given station. Then, 

(I) X =i:±m.|l— 2e-}-3e.Cos.'(jL±^)|- 

(II) 4, = p(l— 2£Sin.= X). 

(III) Sin. 9 = Sin. X Cos. 4- ; or, Cot. <p =: ^3^ . 

(IV) Tang.«=^(l-3Cos.= X). 

The radius of the equator and the polar semi-axis were computed from 
the meridional degree for the Latitude of the Cardinal point :=^ 42° 21' 30", 
and a perpendicular degree for the same point. Their value in feet is as 
follows, viz. : — 

Meridional degree = 364356 feet. 

Perpendicular degree = 365511 " 

N. B. The following constants will enable any person to use the above 
formulae with ease : 

0=20914728 ft. Log.=7.3204522209 ; 6=20854128 ft. Log.=7.3 191 920348 
6.Sin.l"(Ar.Co.)Log.=7.9952331; £=0.0028933 Log.=7. 4613968 
1—21=0.9942134; 3£=0.00868 Log.=7. 9385 181 



XXVlll 



INTKOBUCTION. 



Of the Columns of Latitudes and Longitudes in Tables 3 and 4. 

It has been before stated, that these Tables form a part of the data 
obtained by the Trigonometrical Survey, combined with the separate astro- 
nomical observations made by Mr. Paine. These astronomical observations 
were made at twenty-four places, of which twenty-three are within the 
limits of the Commonwealth, and the other (University Hall, in Provi- 
dence, R. I.) near its borders. The differences of Longitude were deter- 
mined by transportation of chronometers, and referred to the meridian of 
the State House in Boston. The Longitude of the State House was as- 
sumed by Mr. Paine, for reasons given in his Report, at 4* 44™ 16'. 6 = 
71° 04' 09", West of Greenwich. The Report here referred to was made 
to Governor Everett, in 1S37, and has since been printed by the American 
Philosophical Society of Philadelphia. The results there exhibited are, in 
themselves, the best proofs of the care, labor and skill bestowed upon the 
observations and their reductions. 

The following Table exhibits the final position assigned by Mr. Paine to 
his points of observation : 



Nos. 


NAMES OF STATIONS. 


Latitudes. 


No. of 
Observa- 
tions. 


Longitudes. 


No. of 
Chrono- 
meters. 


1 


Amherst ; College Chapel, . - - 


42^ 


22' 12".6 


109 


72° 31' 35".9 


25 


2 


Boston ; State House, - - - - 


42 


21 22 .7 


636 


71 


04 09 .0 


» 


3 


Barnstahle ; Court House, - - - 


41 


42 07 .3 


267 


70 


18 36 .0 


59 


4 


Cambridge ; 1st Congregational Church, 


42 


22 21 .3 


201 


71 


07 38 .1 


20 


5 


Dedham ; 1st Cong. Ch., opp. Court H., 


42 


14 52 .3 


198 


71 


10 49 .2 


23 


6 


Greenfield ; 2d Cong. Church (Brick), - 


42 


35 16 .3 


113 


72 


36 32 .0 


14 


7 


Gloucester ; Independent Church, 


42 


36 44 .2 


169 


70 


40 19 .1 


60 


8 


Holmes's Hole ; Windmill, - - - 


41 


27 15 .3 


174 


70 


36 37 .8 


36 


9 


Lowell; St. Ann's Church, - - - 


42 


38 47 .6 


300 


71 


18 57 .3 


34 


10 


Monomoy Point ; Light House, 


41 


33 30 .8 


156 


70 


00 05 .4 


lot 


11 


Nantucket; South-towered Church, 


41 


16 56 .0 


260 


70 


06 12 .2 


28 


12 


New Bedford ; Mariners' Church, 


41 


38 06 .3 


322 


70 


55 49 .4 


54 


13 


Newburyport; Harris Street Church, - 


42 


48 32 .1 


202 


70 


52 47 .1 


46 


14 


Northampton; 1st Cong. Church, ■ 


42 


19 08 .0 


327 


72 


38 21 .0 


74 


15 


Pittsfield ; 1st Cong. Church, 


42 


26 55 .0 


210 


73 


16 05 .1 


39 


16 


Plymouth ; Court House, . - - 


41 


57 28 .5 


169 


70 


40 27 .6 


33 


17 


Providence, R. L ; University Hall, 


41 


49 31 .9 


308 


71 


24 48 .0 


40| 


18 


Salem ; East India Marine Hall, - 


42 


31 18 .9 


154 


70 


53 56 .7 


42 


19 


Sandwich ; 1st Cong. Church, 


41 


45 31 .0 


139 


70 


30 27 .0 


38 


20 


Springfield; Court House, - - - 


42 


06 01 .2 


168 


72 


35 47 .3 


51 


21 


Taunton ; Trinitarian Church, 


41 


54 08 .3 


181 


71 


06 04 .5 


36 


22 


Truro ; Cape Cod Light, - . - 


42 


02 22 .2 


228 


70 


04 08 .7 


24 


23 


Williamstown ; Congregational Church, 


42 


42 50 .6 


110 


73 


13 19 .5 


28 


24 


Worcester ; Antitpiarian Hall, 


■12 


16 12 .6 


351 


71 


48 10 .2 


45 



' Assumed. 



t And Eclipse of 0, Feb. 12lli, 1831 



{ And Eclipse of O, May 15lh, 1836. 



INTRODUCTION. 



xxix 



The mean relative positions of all these points have also been determined 
trigonometrically. They will be found in their several sections. Nearly 
all of them are also given in the third and fourth sections. We have seen 
that, by means of Tables 3 and 4 (first two colums), the difTerences of Lat- 
itude and departure iu linear measure, between any two points in the same 
section, may be calculated, whether the points are inter-visible or not. 

The differences of Latitude in terms of the arc, obtained by astronomical 
observation between certain of the points named in the foregoing Table, 
situated nearly on the same meridian, being combined with the trigonomet- 
rical differences in feet, a value is obtained for a degree of the meridian. 

It would answer no useful purpose to enter into a detailed description of 
the modes of calculation employed to arrive at the final value adopted in 
the Massachusetts Survey. All that is necessary to a due understanding of 
the data in the Tables, is the results, and those we proceed to give. 

The following Table shows, 

1. Stations between which comparisons have been made, designated by 
the numbers opposite their names in the preceding Table of their astronom- 
ical position ; 

2. Their middle Latitude ; 

3. Amplitude of the arc contained between their parallels, as determined 
by Mr. Paine, from astronomical observation ; 

4. The same arc in linear measure, as determined by Mr. Borden in the 
Trigonometrical Survey : 

5. The resulting value of a degree of the meridian, corresponding to the 
Latitude of a point midway between the two stations; i.e., the number of 
feet contained in an arc of the earth's surface, extending from a point thirty 
minutes North of said middle Latitude, to a point thirty minutes South of it. 







VALUES OF 


ARCS OF THE 


MERIDIAN. 




Nos. 


Stations Compared. 


Middle Latitude, 


Celestial Arc. 


Geodetic Krc. 


Value of one Deg. 


1 


Nos 


13 and 11 


42° 


02' 44". 05 


1° 


31'36".l 


Feet. 
556173.00 


Feet. 

364313.17 


2 




13 and 8 


42 


07 53 


.70 




21 16 


.8 


493609.34 


389.25 


3 




13 and 12 


42 


13 19 


.20 




10 25 


.8 


427670.58 


348.25 


4 




13 and 3 


42 


15 19 


.70 




06 24 


.8 


403422.35 


420.25 


5 


** 


13 and 19 


42 


17 01 


.55 




03 01 


.1 


382674.30 


357.10 


6 




18 and 11 


41 


54 07 


.45 




14 22 


.9 


451555.00 


253.76 


7 




18 and 8 


41 


59 17 


.10 




04 03 


•6 


388991.45 


340.59 


8 




18 and 12 


42 


04 42 


.60 





53 12 


.6 


323052.69 


279.42 


9 




18 and 19 


42 


08 24 


.95 





45 47 


.9 


278056.41 


274.76 


10 




18 and 3 


42 


06 43 


.10 





49 11 


.6 


298804.46 


447.68 


U 




£2 and 11 


41 


39 39 


.10 





45 26 


.2 


275942.66 


385.00 


12 




9 and 12 


42 


08 26 


.95 


1 


00 41 


.3 


368422.34 


364236.76 



XXX 



INTRODUCTION. 



These twelve separate values, combined so as to produce the most accu- 
rate result, and reduced by arithmetical progression to the parallel of 42°, 
gave 364334 feet for the value of a degree of the meridian, whose middle 
Latitude is 42°. 

The value of a degree perpeiidicvlar to the meridian., in the Latitude of 
the State House, was deduced from a comparison of the inclination of the 
meridian of French's Hill, in Peru, Berkshire county, and the State House, 
in Boston, with the geodetic length of the arc uniting these two stations. 
They are favorably situated for such a comparison, having but four min- 
utes' difference of Latitude, and about two degrees' diflerence of Longitude. 
This comparison gave 365511.33 feet as the value of a degree on the sphe- 
roid, perpendicular to the meridian in the Latitude of the State House. 

The value of a degree of the meridian, and of a degree perpendicular to 
the meridian, being thus determined, afforded sufBcient data for computing 
the figure and magnitude of the earth. These came out as follows : 

Equatorial Radius = 20914728 feet = 3961.123 miles. 
Polar Semi-axis = 20S54128 " = 3949.646 " 
Ellipticity = ^ = 0.002S933 of the Eq. Radius. 

The survey of Massachusetts covers so small a portion of the earth's 
surface, that doubts might well be entertained whether dimensions of siich 
magnitude as the foregoing could be determined with sufScient accuracy 
from the data it afforded. To test this question, the above elements were 
compared with those given by M. Bessel, in the " Astronomische Nachrich- 
ten" No. 438, which are deduced from a mean of ten trigonometrical sur- 
veys, measured in different parts of the world. These mean elements of 
the earth's figure and magnitude are universally regarded as the best data 
obtainable at the present day. The following Table shows the comparison 
and its results : 



ELEMENTS. 


Bessel. 


Massachus'ts Survey. 


DitTerences. 


Equatorial Radius in feet, - 


- 


20923597.14 


20914728.00 




" " in miles, - 


- 


3963.803 


3961.123 


1.68 miles. 


Polar Semi-Axis in feet, - 


- 


20853657.16 


20854128.00 




" " in miles, - 


- 


3949.556 


3949.646 


0.09 miles. 


Deg. of the Meridian for Lat. 42^^ 


21' 30" 


364403.28 


364356.00 


47.28 feet. 


" of the Perpendicular for " 


(t (t 


365740.21 


365511.33 


228.88 " 


" of the Parallel for 


tt (( 


270262.09 


270092.12 


169.97 " 


Ellipticity, - - - - 


- 


2^=0.0033445 


^=0.0028933 





If the degree of the meridian measured in Massachusetts be combined 
•with that measured by Bouguer and La Condamine, in Pern, Lat. 1° 30' 
North, they will give an ellipticity of ■^\-s of the Equatorial Radius. 



INTRODUCTION. 



XXXI 



The foregoing comparison showed the Massachusetts results to be de- 
serving of confidence, and they were adopted accordingly. 

For the convenience of any person wlio may wish to recompute the fore- 
going data, and has not ready access to mathematical books, the following 
formulae, quoted from " Galbraith's Mathematical and Astronomical Ta- 
bles," page 196, are given : 

"Let </ be a degree of the meridian at any point of which the Latitude is L, 

and Z) be a degree of the curve perpendicular to the meridian at the 

same point ; 

Let a ^Equatorial Radius, and jE7=excess of equatorial over polar radius; 

s =^ Ellipticify, and R° = arc equal to radius ^= 67°.2957795 ; then, 

R" 



(2) 



(1) a = R°.D- 



2.COS-2/, ' 



.{D—cl). Tang: 
(3) 4 = 



D—d 
2jD.Cos.2i, ' 



The next step in the process of computing the Latitudes and Longitudes 
was, to fix upon some cardinal point from whence the calculations should 
emanate. For this purpose, the State House was selected, and the obser- 
vations for Latitude, made by Mr. Paine at nine other places, were reduced 
to the State House by the general formulae of Oriani. 

The following Table exhibits the Latitude of the State House, deduced 
from Mr. Paine"s observations at nine other points, combined with the 
geodetic differences of Latitude : 



Nos. 


station of Observation. 


Observed Lat. 


state House North. 


Resulting Latitude 
of State House. 


1 


Barnstable ; Court House, 


41= 


42' 07".3 


+0° 


39' 23".93 


42° 21' 31".23 


2 


Holmes's Hole ; Windmill, - 


41 


27 15 .3 


4-0 


53 15 .13 


42 21 30 .43 


3 


Lowell ; St. Ann's Church, - 


43 


38 47 .6 


—0 


17 16 .78 


42 21 30 .82 


4 


Nantuckot; South-towered Church, 


41 


16 56 .0 


+1 


04 33 .38 


42 21 29 .38 


5 


New Bedford ; Mariners' Church, - 


41 


38 06 .3 


+0 


43 23 .54 


42 21 29 .84 


6 


Newbiiryport ; Harris St. Church, 


42 


48 32 .1 


—0 


27 02 .15 


42 21 29 .95 


7 


Salem ; East India Marine Hall, - 


42 


31 18 .9 


—0 


09 48 .52 


42 21 30 .38 


8 


Sandwich ; 1st Cong. Church, 


41 


45 31 .0 


+0 


35 58 .91 


42 21 29 .91 


9 


Truro ; Highland Light, 


42 


03 22 .2 


+0 


19 06 .64 


42 21 28 .84 




IV 


[ean Latitude ( 


jf State House = 


= 42° 21' 30". 08 



The uniformity of these separate results led Mr. Borden to adopt their 
mean as the true Latitude of the State House, notwithstanding it differs 
7" from the Latitude obtained by observations made at the place itself 
The cause of this great discrepancy has yet to be discovered. The obser- 
vations whicji have been made, and are still in progress, at the new Obser- 
vatory in Cambridge, and the vast mass of data which the Coast Survey 



XXXll INTRODUCTION. 

will bring to bear upon it, will probably shed some new light upon this 
most interesting subject.* 

The final position assigned to the State House, by Mr. Borden, placed it 
in Latitude 42° 21' 30"; Longitude 71° 04' 09", West of Greemyich, as 
stated in Table 3, page .58. As differences of Latitude and Longitude only 
are determined by trigonometrical operations, any change made hereafter, 
in the geographical position of this point, will affect equally every other 
point in the State named in these Tables. f 

In Tables 3 and 4 of each Section, a Cardinal point has been determined 
at the intersection of the parallel of 42° 21' 30" with the meridian on 
which the Section is based. The differences of Latitude and Longitude, 
between this Cardinal point and any other point in the same Section, may 
be computed by the formulae of Oriani, before given ; but much more 
readily, and with less liability to error, by means of Tables A, B, C, D, 
prepared originally for the purpose of facilitating these calculations. Their 
use has been fully explained in the foregoing pages. 

* It is a curious coincidence that a similar discrepancy exists in the city of Philadelphia, between the Lati- 
tude obtained for the High School Observatory, by astr."uomicaI obser\'ations made there, and those made 
at other places, and reduced to the Observatory by trigonometrical differences. The discrepancy in our 
case cannot properly be charged to errors in the methods or quantities used in their reduction, since the 
points of observation are both North and South of the State House, and an error in either of these would be 
immediately felt in die result. The use of IBessel's mean elements will hardly change the result a tenth of a 
second. 

t It is proper to state here, that, in a paper read before the American Philosophical Society, at Philadel- 
phia, on the occasion of their centennial meeting in 1843, Mr. Borden recommended, for reasons there given, 
that the mean of all Mr. Paine's observations, reduced to the State House, be substituted for the above. 
There are, in all, five thousand four hundred and seventy-five observations by Mr. Paine, at twentj'-four sta- 
tions, all of which, reduced to the Stale House, give, for its mean Latitude, 42® 21' 28".G6. This correction 
therefore = — 1".34 to all the Latitudes given in these Tables, 



TABLES 



FACILITATING THE CALCULATIONS OF LATITUDES AND LONGITUDES. 



Table A. 











Mean Log. value of 1" 


Cardinsl Point. 


Value of successive 


Distance North of the 


Lo?. vahie of distance 


from State House or 




luiuutes in teet. 


State House. 


North of State House 


Cardinal iJoint. to the 


Lat. 42° 21' 30" 






or Cardinal point. 


Latitude aiiainst which 
they are set. 


Lat.42°21' 


30.36.298 


3036.298 


3 4823444 


2.0052231 


23 


6072.608 


9108.91 


3.9594664 


2.005^239 


2.3 


6072.623 


15181.53 


4.1813156 


2.00.52243 


24 


6072.638 


21254.17 


4.3274439 


2.0052248 


25 


6072.653 


27.326.82 


4.4365891 


2.00.522.53 


2G 


6072.669 


33399.49 


4.52.37399 


2.00522.59 


27 


6073.684 


39472.17 


4.5962910 


2.0052264 


28 


6072.699 


4.5544.87 


4.6584395 


2.C0.52270 


29 


6072.715 


51617.59 


4.7127978 


2.00.52276 


30 


6072.730 


57690.32 


4.7611030 


2.00.52281 


31 


6072.745 


63763.06 


4.8045691 


2.0052286 


33 


6072.760 


69835.82 


4.8440782 


2.0052291 


33 


6072.776 


75908.60 


4.8802909 


2.00.52297 


34 


6072.791 


81981.39 


4.91371.53 


2.00.52302 


35 


6072.806 


880.54.20 


4.9447501 


2.00,52308 


36 


6072.822 


94127.03 


4.97.37142 


2.00,52313 


37 


6072.837 


100199.85 


5.0008672 


2.0052319 


38 


6072.852 


106272.71 


5.0264218 


2.0052.325 


39 


6072.867 


112345.57 


5.00.52329 


2.00.52330 


40 


6072.883 


118418.46 


5.07.34193 


2.00.52335 


41 


6072.898 


124491.35 


5.0941392 


2.00.52341 


42 


6072.913 


1.30.564.27 


5.11.58241 


2.0052346 


43 


6072.928 


1366.37.20 


5.1.35.5690 


2.0052.3.52 


44 


6072.944 


142710.14 


5.1544547 


2.00.523.57 


45 


6072.9.59 


148783.10 


5.172.5.537 


2.00.52363 


4G 


6072.974 


15-18.56.07 


5.1899282 


2.00.523(;8 


47 


6072.990 


160929.06 


5.5066.345 


2.00.52374 


48 


6073.004 


167002.07 


5.2227219 


2.0052380 


49 


6073.020 


173075.09 


5.2.382346 


2.00,52385 


50 


6073.0.35 


179148.12 


5.2.532123 


2.00.52390 


51 


6073.050 


185221.17 


5.267(:906 


2.00.52395 


52 


6073.065 


191294.24 


5.2817019 


2.00.52401 


53 


6073.081 


197.367.32 


5.29.527.52 


2.00.52406 


54 


6073.097 


203440.42 


5.. 3084372 


2.00.52412 


55 


6073.112 


209513 .53 


5.3212121 


2.00.52418 


56 


6073.127 


21.5.580.66 


5.3.336219 


2.00.52423 


57 


607:<.142 


2216.59.80 


.5. 34. 5(1869 


2.00.5V428 


58 


6073 158 


227732. 9fi 


5.3.5742.58 


2.00.52433 


59 


(i073. 173 


23.3806. 13 


5.3688.5.59 


2.00.524.39 


43° 00 


6073.188 


239879.33 


5.3799928 


2.00.52444 


01 


0073.204 


245952.52 


5.3908512 


2.0052449 



XXXIV 



INTRODUCTION. 



Table B. 











Mean Lo?. values of I" 


Cardinal Point. 


Value of successive 


Distance from State 


Lo?. of distance from 


from Stale House or 




miimleii iu feet. 


House 3outlierly. 


Slitle House or Car- 


Cardinal point, to the 


400 21' iffi 






dinal point. 


Latitude against which 
ihey are set. 


42° 21' 00" 


3036.2942708 


3030.29 


3.4823433 


2.0052220 


20 


6072.5770833 


9108.87 


3.9594646 


2.0052221 


19 


6072.5618055 


15181.44 


4.1813129 


2.0052216 


18 


6072 5465277 


21253.97 


4.3274410 


2.00,52210 


17 


6072.53 12500 


27326.51 


4.43(35843 


2.0052215 


16 


6072.5159722 


33399.03 


4.5237339 


2.0052209 


15 


0072.5006944 


39471.53 


4.5962839 


2.0052193 


14 


6072.4854166 


45544.01 


4.6584313 


2.0052188 


13 


6072.4701388 


51616.48 


4.7127884 


2.0052182 


12 


6072.4.548611 


57688. 94 


4.7610926 


2.C052177 


11 


0072.4395833 


63761.38 


4.8045576 


2.0U52171 


10 


6072. 42 J 3055 


69833.80 


4.8440657 


2.0052166 


9 


6072.4090277 


75906.21 


4.8802773 


2,00521(i0 


8 


6072. 3! (37500 


81978.60 


4.9137005 


2.00,521,55 


7 


6072.3784722 


88050.99 


4.9447343 


2.00.52150 


6 


6072. 3( ,3 194 4 


94123.35 


4.9736974 


2.00,52145 


5 


6072.3479166 


100195.70 


5.0008495 


2.00.52l:i9 


4 


6072.33-.'6388 


106268.03 


5. 021 i4 026 


2.0052133 


3 


6072.3173611 


112340.35 


5.0505358 


2.0052128 


2 


6072.302U833 


118412.65 


5.0733981 


2.0052122 


1 


6072.28()8055 


124484.93 


5.0951 1()8 


2.0052117 


42 00 00 


6072.2715277 


130557.20 


5.11,i8008 


2.0052111 


41 59 00 


6072.2562.500 


136629.46 


5.13,5.5444 


2.0052106 


58 


6072.2409722 


142701.70 


5.1.544391 


2.0052100 


57 


6072. 225(5944 


148773.93 


5.172,5269 


2.00.52095 


56 


6072.2104166 


154846.14 


5.1899004 


2.0052090 


55 


6072.195I.388 


160918.34 


5.20(i6055 


2.0052084 


54 


6072.1798611 


166990.51 


5.222(i918 


2.0052079 


53 


6072.1645833 


1730(i2.68 


5.23820.34 


2.00.52073 


52 


6072 H93055 


179134.83 


5.2.531800 


2.00.52067 


51 


6072.1340277 


18.S206.96 


5.2(i7(..573 


2.005-2(li;2 


50 


6072.1187,500 


191279.08 


5.2816(i74 


2. 005 :().-)(; 


49 


6072.1034722 


197351.19 


5.'.:9.52:i97 


2.0(152051 


48 


6072.081^1944 


203423.27 


5.3084006 


2.00.52045 


47 


6072.0729166 


2094! (5. 35 


5.. 32 11744 


2.00.52040 


46 


6072.0.57(;388 


21.5567.40 


5.3335831 


2.00.52034 


45 


6072.0423611 


2216.39.45 


5.345(i469 


2.00.52028 


44 


6072.02/08.33 


227711.47 


5.3.573848 


2.00,52023 


43 


6072.0I]80.")5 


233783.49 


5.3688138 


2.00.52018 


42 


6071.996.5277 


2,39855.48 


5.3799495 


2.0052012 


41 


6071.9812500 


245927.46 


5.3908009 


2.00.52007 


40 


0071.96.59722 


251999.43 


5.4013994 


2.0052002 


39 


6071.9506944 


258071.. 38 


5.4117.397 


2.0051996 


38 


6071.9.3.54166 


264143.31 


5.4218.342 


2.0051991 


37 


6071.9201388 


270215.23 


5.4317098 


2.0051986 


36 


6071.9048611 


276287.13 


5.4413606 


2.0051980 


35 


6071.889.-83:) 


2823.19.(2 


5,4508017 


2.00.^1975 


34 


6071.87430.55 


28S-i:io.90 


5.4(;('04I8 


2.()0519(!9 


33 


607l.8.ViO-'77 


294.i02.7() 


5.4(;90S93 


2.005l!l6:i 


32 


0071.8437.500 


30U.574.(iO 


5.4779.522 


2.0051958 


31 


6071.8284722 


306646.43 


5.4866,379 


2. 005 1 "15:? 


30 


6071.8131944 


312718.25 


5.4951532 


2.0051947 



INTRODUCTION. 



XXXV 



Table B — Concluded. 



Latitudes. 


Value of sucressive 
luiuutcb in leec. 


Distance from Slate 
Huub-e tiuulheily. 


Lo;. of flistance from 
teliile House or Car- 
dinal i.oii.t. 


INIean I.n^. values of I" 
li'orii tilate lloute or 
IJardii al liiiint. to the 
l.aliiudeiuaiust which 
they are set. 


41° 2'J" 00" 


C071.7<i7yiG6 


318790.05 


5.5035048 


2.0051942 


28 


C071.7S2(iti88 


324861.83 


5.5116986 


2.0051936 


27 


G071.7U7;i6]l 


330933.59 


5.5197409 


2.0051931 


26 


6071.75208:33 


337005.35 


5.5276368 


2.0051926 


25 


6671.7368055 


343077.08 


5.5353917 


2.0051920 


24 


6071.7215277 


349148.60 


5.5430105 


2.0051914 


23 


6071.70(i'<!500 


355220.51 


5.5504980 


2.0051909 


23 


6071.6909722 


361292.20 


5.5578585 


2.0051903 


21 


6071.6756944 


367363.87 


5.5650964 


2.0051898 


20 


60 11. 66041 60 


373435.. 53 


5.5722156 


2.0051892 


19 


6071.6451388 


379.507.18 


5.. 5792200 


2.0051887 


18 


6071.6298611 


38.5578.81 


5.5861131 


2.0051881 


17 


607 1.61 '1,5833 


391(i.50.42 


5.5928986 


2.0051876 


16 


6071.. 5993055 


397722.03 


5.. 5995796 


2.0051870 


15 


6071.5840277 


40.3793.61 


5.6061594 


2.0051865 


14 


6071.5687500 


409865.18 


5.6126410 


2.0051860 


13 


6071.5534722 


415936.73 


5.6190273 


2.0051855 


12 


6071.5381944 


422008.27 


5.6253210 


2.0051849 



XXXVl 



INTRODUCTION. 



Table C. 

A Table of the values of a decree at right angles with the meridian for each minxite of Latitude, 
from 41° 11' 30" to 43°, inftet ; to which is nppendtd the Log. value of 1" for each degree. 



Latitudes. 


Value of one decree 
ill feet. 


Los. value of one 
secoiitl. 


Latitudes. 


Value of one decree 
ill feet. 


Los. value of one 
second. 


41° 11' 30" 


305489.4100 


2.0(105723 


43° 6' 30" 


305500.3753 


2.0065924 


13 30 


.7349 


3.000.5730 


7 30 


.6830 


2.0005938 


13 30 


365490.0333 


2.0005730 


8 30 


.9919 


2.000.5932 


14 30 


.3415 


2.0005734 


9 30 


365507.8003 


2.000,5930 


15 30 


.6499 


2.000.5738 


10 30 


.0086 


2.0005939 


10 30 


.9583 


2.0005741 


11 30 


.9169 


2.0005943 


17 30 


365491.2600 


2.00{i5745 


13 30 


365508.2353 


2.00(55947 


18 30 


.5749 


2.00(i.5749 


13 30 


.5336 


2.00(i.5950 


19 30 


.8833 


2.0005753 


14 30 


.8420 


2.0U(j5954 


20 30 


305492.1910 


2.00057.5() 


15 30 


305509.1503 


2. 0005! 158 


21 30 


.5000 


2.00(;,5700 


10 30 


.4,587 


2.0005903 


23 30 


.8083 


2.0005704 


17 30 


.7070 


2.00(i5905 


23 30 


365493.1100 


2.0005707 


18 30 


365510.0754 


2.000.59()9 


24 30 


.4-'50 


2.0U65771 


19 30 


.3837 


2.0005973 


25 30 


.7333 


2.0005775 


20 30 


.6920 


2.00(55970 


20 30 


305494.0417 


2.0005778 


21 30 


365511.0000 


2.0005980 


27 30 


.3500 


2.000,5782 


23 30 


.3087 


2.0005984 


28 30 


.6583 


2.0005786 


23 30 


.6170 


2.0005987 


29 30 


.9000 


2.0005789 


24 30 


.9253 


2.00(i5991 


30 30 


365495.2749 


2.0005793 


25 30 


365512.2336 


2.0005995 


31 30 


.5834 


2.000,5797 


20 30 


.5419 


2.0005998 


33 30 


.8917 


2.0005800 


27 80 


.8503 


2.00(i0002 


33 30 


305490.2000 


2.0005803 


28 30 


365513.1.585 


2.006(i000 


34 30 


.5083 


2.00(;.5807 


29 30 


.4668 


2.006(i010 


35 30 


.8107 


2.00(i.5811 


80 30 


.7751 


2.0000013 


30 30 


305497.1250 


2.0005814 


31 30 


305514.0834 


2.0000017 


37 3'J 


.4333 


2.000,5818 


33 30 


.3917 


2.0000021 


38 30 


.7410 


2.0005833 


33 80 


.7000 


2.000(i024 


89 30 


305498.0500 


2.00G.5820 


34 30 


365515.0083 


2.0000028 


40 30 


.3584 


2.0005829 


35 30 


.3160 


2.0000032 


41 30 


.6007 


2.0065833 


36 30 


.6350 


2.00(;ti035 


43 30 


.9751 


2.0005836 


37 30 


.9333 


2.00(;C039 


43 30 


365499.2834 


2.00(i5840 


38 30 


365516.2417 


2.C0G0042 


44 30 


.5918 


2.00(i5844 


89 30 


.5.500 


2.0000046 


45 30 


.9002 


2.0005848 


40 30 


.8584 


2.0000049 


46 30 


365500.2086 


2.00(i.5851 


41 80 


365517.1667 


2.0000053 


47 30 


.5169 


2.00(i,58,55 


42 30 


.4751 


2.0006057 


48 30 


.8353 


2.00058,58 


43 30 


.7884 


2.00000(30 


49 30 


365501 . 1330 


2.0005803 


44 30 


365518.0918 


2.00(50004 


50 30 


.4420 


2.000,5800 


45 30 


.4001 


2.00(i00()8 


51 30 


.7503 


2.0005870 


46 30 


.7084 


2.00()0071 


53 30 


305503.0.586 


2.000.5874 


47 30 


365519.0108 


2.006(3075 


53 30 


.3009 


2.0005877 


48 30 


.3351 


2.0000079 


54 30 


.0753 


2.0005881 


49 30 


.6334 


2.00^0083 


55 30 


.9835 


2.0005885 


50 30 


.9417 


2.0000086 


56 30 


305503.2919 


2.0005888 


51 30 


365520.2501 


2.0000089 


57 30 


.6003 


2.0005893 


53 30 


.5584 


2.000(3093 


58 30 


.9086 


2.0005890 


53 30 


.8608 


2.00(30090 


59 80 


365504.2169 


2.0005899 


54 30 


365521.1751 


2.0000100 


42 00 80 


.5252 


2.000.5903 


55 30 


.4834 


2.00(30104 


1 30 


.8330 


2.000.5907 


50 80 


.7918 


2.00(iOI07 


2 30 


305505.1419 


2.0065911 


57 30 


365522.1001 


2.0000111 


3 30 


.4503 


2.006.5914 


58 30 


.4084 


2.0060115 


4 30 


365505.7.586 


2.006.5918 


59 30 


.7167 


2.0000119 


5 30 


365506.0669 


2.0065920 


43 00 30 


365523.0251 


2.0060122 



INTRODUCTION. 



xxxvu 



Table D. 

Logarithmic values of seconds of differences of Longitude ; or. Polar angles in feet at right 
angles with the meridian, computed for each minute of Latitude, from 41° 15' to 43°. 

N. B. This Table should not be used when ihe Polar angle exceeds 35'. 



Latitudes. 


Log. values of 1". 


Difference. 


Latitudes. 


L03. values of 1". 


Difference. 


41° 15f 


1.8827039 


1104 


41° 41' 


1.8798111 


1123 


16 


1.8825935 


1105 


42 


1.8796988 


1122 


17 


1.8824830 


1106 


43 


1.8795866 


1123 


18 


1.8823724 


1106 


44 


1.8794743 


1124 


19 


1.8822618 


1107 


45 


1.8793619 


1124 


20 


1.8821511 


1109 


46 


1.8792495 


1124 


21 


1.88Q0402 


1108 


47 


1.8791371 


1126 


22 


1.8819294 


1109 


48 


1.8790245 


1126 


23 


1.8818185 


1110 • 


49 


1.8789119 


1127 


24 


1.8817075 


1110 


50 


1.8787992 


1128 


25 


1.8815965 


nil 


51 


1.8786864 


1128 


26 


1.8814854 


1112 


52 


1.8785736 


1128 


27 


1.8813742 


1113 


53 


1.8784608 


1130 


28 


1.8812629 


1112 


54 


1.8783478 


1131 


29 


1.8811517 


1115 


55 


1.8782347 


1131 


30 


1.8810402 


1114 


56 


1.8781216 


1132 


31 


1.8809288 


1115 


57 


1.8780084 


1132 


32 


1.8808173 


1116 


58 


1.8778952 


1132 


33 


1.8807057 


1115 


59 


1.6777820 


1134 


34 


1.8805942 


1116 


42 00 


1.8776686 


1134 


35 


1.8804826 


1118 


1 


1.8775552 


1135 


36 


1.8803708 


1118 


2 


1.8774417 


1136 


37 


1.8802590 


1119 


3 


1 .8773281 


1136 


38 


1.8801471 


1120 


4 


1.8772145 


1136 


39 


1.8800351 


1120 


5 


1.8771009 


1136 


40 


1.8799231 


1120 


6 

i 


1.8769871 


1138 



XXXVIU 



INTRODITTIOX, 



Table D — Concluded. 



Latitudes. 


Lo:,'. values of 1". 


Difference. 


Latitudes. 


Loi. values of 1". 


Diflerence. 


43° 07' 


1.8708733 


1139 


42° 34' 


1.8737747 


1157 


8 


1.8767594 


1140 


35 


1.8736590 


1158 


9 


1.8766454 


1140 


36 


1.8735432 


1158 


10 


1.8765314 


1140 


37 


1.8734274 


1159 


11 


1.8764174 


1142 


38 


1.8733115 


1159 


12 


1.8763032 


1142 


39 


1.8731956 


1160 


13 


1.8761890 


1142 


40 


1.8730796 


1161 


14 


1.8760747 


1142 


41 


1 .8729635 


1162 


15 


1.8759603 


1144 


42 


1.8728473 


1162 


IC 


1.8758459 


1144 


43 


1.8727311 


1164 


17 


1.8757315 


1145 


44 


1.8726147 


1164 


18 


1.8756170 


1146 


45 


1.8724983 


1165 


19 


1.8755023 


1147 


46 


1.8723818 


1165 


20 


1.8753876 


1147 


47 


1.8722653 


1165 


21 


1.8752729 


1148 


48 


1.8721488 


1167 


22 


1.8751580 


1148 


49 


1.8720321 


1167 


23 


1.8750432- 


1151 


50 


1.8719154 


1168 


24 


1.8749281 


1151 


51 


1.8717986 


1169 


25 


1.8748130 


1150 


53 


1.8716817 


1169 


26 


1.8746980 


1152 


53 


1.8715048 


1169 


27 


1.8745828 


1153 


54 


1.8714479 


1172 


28 


1.8744675 


1153 


55 


1.8713307 


1171 


29 


1.8743522 


1154 


56 


1.8712136 


1171 


30 


1.8742368 


1154 


57 


1.8710965 


1172 


31 


1.8741214 


1154 


58 


1.8709793 


1173 


32 


1.8740059 


1156 


59 


1.8708620 


1173 


33 


1.8738903 


1156 


43 00 


1.8707447 





TRIGONOMETRICAL SURVEY. 



TRIGONOMETRICAL SURVEY. 



SECTIOIV !• 

TABLE L 

The following Table shows the Directions, Bearings and Distances from one primitive 
station to another, on parallels to the meridian of Frenches Hill. 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances in Easliiigs 
feet. °' Westings 
in leet. 


iVorihings 

or Southings 

in feci. 


Alander Mountain - 


- to 


Becket Station, 


N. E. 


o / // 

51 25 12.20 


124729.66 97506.00 

1 


77782.15 






Connecticut line bound, - 


S. E. 


10 4G 07.61 


14055.92 2620.28 


13808.39 






S. W. corner of State, - 


S. W. 


18 34 14.09 


14437.82 4598.05 

j 


13686.06 


Bald Peak - - - 


- to 


Alander Mountain, - 


s.w. 


/5 10 07.10 


20274.77 19599.30 


5189.85 






Becket Station, 


N. E. 


47 01 13.32 


106486.32 77904.84 


72595.92 






Connecticut line bound, - 


S.W. 


41 46 30.33 


25475.77 16973.00 

1 


18998.21 






Jackson's Hill, 


N. E. 


77 25 53.12 


110538.38113745.66 


25359.66 






Seymore's Hill, 


S. E. 


79 36 17.00 


90761.00 69271.26 


16376.75 


Berlin Mountain - 


- to 


Clarksburg Station, - 


N. E. 


05 50 17.96 


37405.25^ 34128 32 


15310.45 






New York line bound. 


S. E. 


62 39 05. C4 


• 


227.80 


117.80 






Williamstown Church, 


N. E. 


69 12 35.76 


21867.32 


20443.48 


7761.70 


Birch Stake Station 


- to 


Point in Connecticut line. 


S.W. 


24 00 20.68 


• 


335.20 


752.70 


Clarksburg Station 


- to 


N. VV. corner of State, - 


N. W. 


81 25 47.79 


28700.25 28379.77 


4270.87 






Williamstown Church, 


S.W. 


61 07 02.05 


15629.03 130=5.40 

1 


7549.41 


Dug Hill- - - - 


- to 


Becket Station, 


N. W. 


.58 08 5C.C1 


05483.04 55622.00 

1 


34556.13 






Birch Stake Station, 


S. E. 


9 51 07.03 618.^>9.63' 10584.04 

1 


60947.82 






Hilliard's Knob, 


N. E. 


72 38 49.66 


12188-2.05 116335.48 


36352.95 






Jackson's Hill, 


S. W. 


.57 20 23.41 


23300.13 19764.37 


12682.00 






Mount Lincoln, 


N. E. 


67 34 02.27 


151200.90139774.03 


57704.04 






Mount Tom, - 


N. E. 


80 43 00.39 


80159.39 79109.54 


12930.90 






Proven's Mountain, - 


S. E. 


.55 16 24.51 


78042.40 64141.52 


44157.05 






Rattlesnake Mountain, 


S. E. 


66 35 14.44 


157839.54144644.17 

1 


02717.60 






Winchel's Mountain, 


S. E. 


U 00 52.98 


55270.15 10501.12 


54257.86 


French's Hill - - 


- to 


Bald Peak, - 


S.W. 


42 11 22.29 159078.48107237.83 

1 


118110.14 






Becket Station, 


S.W. 


32 41 18.51 


54313.11 


29332.94 


45709.03 



TRIGONOMETRICAL SURVEY. 

SECTION I. TABLE 1 — Continued. 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances in 
feet. 


Eastings 

or Westings 

in (eet. 


Nortliings 

or Southings 

in leet. 


French's Hill - . - to 


Berlin Mountain, 


N. W. 


O / // 

34 39 40.71 


117416.30 


66777.48 


96578.30 




Dug Hill, 


S. E. 


18 08 07.39 


84463.74 


26290.47 


80267.69 




High Ridge Hill, - 


N. E. 


84 44 43.75 


86568.34 


86204.66 


7927.94 




Hilliard's Knob, 


S. E. 


72 53 08.9] 


149234.69 


142626.36 


43916.22 




Jilson's or Rowe & Wlii- ) 
tingham line Station, ) 


N. E. 


20 35 41.88 


121119.33 


42604.86 


113378.63 




More'sHill, - 


N. E. 


78 39 59. 9C 


69856.25 


68494.10 


13727.96 




Perry's Peak, . - - 


S.W. 


88 40 51.40 


94254.54 


92430.04 


2128.28 




Saddle Mountain, - 


N. W. 


24 18 48.44 


83965.12 


34570.81 


76518.00 




Spruce Hill, - - . 


N. W. 


5 28 24.70 


88894.12 


8479.23 


88488.76 




Walnut Hill, - 


N. E. 


40 50 37.05 


108208 35 


70767.90 


81859.34 


High Ridge Hill - - to 


Bear Mountain, 


N. E. 


57 05 17.98 


93677.84 


78643.44 


50899.46 




Hilliard's Knob, 


S. E. 


47 25 29.81 


76623.95 


56425.24 


51840.35 




Mount Grace, . - - 


N. E. 


47 30 11.70 


131823.91 


97195.82 


89053.42 




Mount Lincoln, 


S. E. 


69 05 26.18 


85483.00 


79853.57 


30508.11 




Mount Tom, - - - 


S. E. 


14 18 36.00 


77672.57 


19198.18 


75262.60 




Packard's Mountain, 


N. E. 


8G 58 59.89 


96735.02 


98598.20 


5196.12 


Jackson's Hill - - - to 


Bccket Station, 


N. W. 


37 11 13.13 


59294.5) 


35838.68 


47238.00 




Seymore's Hill, 


S.W. 


30 23 19.34 


48381.33 


24474.38 


41734.39 




Winchel's Mountain, 


S. E. 


36 07 28.00 


51473.42 


30345.71 


41577.08 


Jilson'sorRoweiSiWhi- ) ^^ 
tingham Stat'n,Vt. line, ^ 


High Ridge Hill, - 


S. E. 


22 27 40.36 


114108.34 


43596.00 


105451.87 




More'sHill, - 


S. E. 


14 33 48.04 


102958.57 


25888.95 


99650.55 




Mount Grace, - - - 


S. E. 


83 21 24.38 


141745.33 


140793.20 


16398.04 




Walnut Hill, - 


S. E. 


41 46 50.57! 42268.00 


28162.40 


31519.18 


Here's Hill - - - - to 


Bear Mountain, 


N. E. 


64 55 04.50106383.10 


96351.32 


45097.52 




Dug Hill 


S.W. 


24 10 46.05103034.64 


42202.58 


93995.12 




Hawes'Hill, - 


S. E. 


89 32 23.54 


• 


• 


• 


;_^ 


High Ridge Hill, - 


S. E. 


71 51 46.81 


18636.58 


17710.07 


5801.37 




Hilliard's Knob, 


S. E. 


52 08 01.91 


93905.86 


74133.72 


57640.41 




Mount Grace, - - - 


N. E. 


54 04 33.64 


141894.46 


114907.00 


83251.04 


--. ■• 


Mount Lincoln, 


S. E. 


69 35 09.48 


104099.91 


97562.07 


36310.22 



TRIGONOMETRICAL SURVEY. 
SECTION I. TABLE 1 — Continued. 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances in 
feet. 


Eastings 

or Westings 

in feet. 


Northings 

or Southings 

iu feel. 


More's Hill - -- - to 


Mount Tom, - - . 


1 o / // 

S. E. |24 28 43.71 


89009.20 


36906.42 


81063.20 




Packard's Mountain, 


S. E. 89 42 05.05 

1 


110307.37 


116305.78 


606.13 




Proven's Mountain, - 


S. E. 


9 00 15.34 


140179.32 


21939.02 


138451.86 


Mount Esther - - - to 


High Ridge Hill, - 


s.w. 


83 42 46.09 


14474.97 


14387.91 


1585.20 




Hilliard's Knob, - 


S. E. 


38 11 46.18 


67978.70 


42035.00 


53424.40 




Mount Lincoln, 


S. E. 


63 53 04.34 


72907.48 


65464.29 


32092.51 




Mount Tom, - - - 


S. E. 


3 34 51.20 


76997.72 


4809.09 


76847.40 




North end of base, - 


N. E. 


55 34 51.46 


17307.07 


14277.01 


9782.66 




South end of do. - 


S. E. 


25 27 50.58 


32309.87 


13917.27 


29225.31 


Mount Lincoln - - - to 


Hilliard's Knob, - 


S.W. 


47 40 .54.22 


31684.21 


■ 


• 


Mount Tom - - - to 


Hilliard's Knob, - 


N.E. 


57 49 25.35 


43981.62 


• 


• 




Peaked Mountain, - 


S. E. 'so 04 10.45 


109534.25 


. 


• 




Rattlesnake Mountain, 


S. E. 40 59 26.27 


100220.30 


• 


• 


North end of base - to 


Hilliard's Knob, 


S. E. 23 42 52.00 


60033.00 


27763.58 


63203.90 




Mount Lincoln, 


S. E. 50 43 04.21 


66136.20 


51191.90 


41873.50 




South end of base, - 


S.W. 00 31 28.00 


39009.73 


357.00 


39008.10 


Perry's Peak - - - to 


Alander Mountain, - 


S.W. 


15 49 44.15 


126149.81 


34409.48 


121366.23 




Bald Peak, - - - 


S.W. 


7 15 50.28 


117117.75 


14808.45 


116177.81 




Becket Station, 


S. E. 


55 21 55.39 


76686.14 


63096.84 


43583.87 




Pittsfield Church, - 


N.E. 


73 43 55.97 


35657.92 


34230.28 


9988.70 


Proven's Mountain - to 


Hilliard's Knob, 


N.E. 


32 51 27.67 


96199.54 


52193.47 


80809.04 




Mount Tom, - - - 


N.E. 


14 37 00.49 


59307.60 


14906.45 


57388.11 




Peaked Mountain, - 


S. E. 


83 33 56.31 


99803.84 


98964.90 


12913.04 




Rattlesnake Mountain, 


S. E. 


77 15 01.44 


82747.34 


80707.12 


18261.57 


Saddle Mountain - - to 


Bald Peak, - - - 


S.W. 


20 27 16.85 


207938.57 


72667.55 


194827.90 




Berlin Mountain, 


N. W. 


.■58 04 44.25 


37936.10 


32199.30 


20058.72 




Clarksburg Station, - 


N.E. 


3 07 27.20 


35421.77 


1930.52 35369.12 




High Ridge Hill, - 


S. E. 


60 24 23.24 


138893.80 


120775.22 08591.88 




Jilson's or Rowe & Whi- ? 
tingham Stale line Stat'n, I 


N.E. 


64 28 11.55 


85525.22 


1 

77174.24 36800.15 




More's Hill, - 


S. E. 


58 38 55.32 


120682. 47| 


103061.97 


02789.14 



TRIGONOMETRICAL SURVEY. 
TABLE L SECTION 1— Continued. 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances in 
feet. 


Eastings 

or Wcsiings 

in feet. 


Northings 

orSouUniiga 

in feel. 








1 II ! 






Saddle Mountain - - to 


Mount Grace, - - - 


N. E. 84 38 13.91 


218927.66 


217969.40 


20461.40 




N. W. corner of State, - 


N. W.33 42 29.54 


47658.65 


26148.82 


39646.39 




Perry's Peak, - - - 


S.W. 


36 20 29.20 


97634.72 


57858.03 


78644.70 




Pittsfield Church, - 


S.W. 


18 59 26.71 


72608.02 


23627.80 


68656.06 




Spruce Hill, - - - 


N. E. 


65 21 18.05 


28704.77 


26090.01 


11969.73 




Walnut Hill, - 


N. E. 


87 05 53.45 


105471.85 


105336.58 


53394.27 


Scyraorc's Hill, - - to 


Becket Station, 


N. W. 


7 16 44.91 


89695.04 


11364.68 


88972.28 




Winchel's Mountain, 


N. E. 


89 50 13.00 


54820.29 


54820.10 


156.00 


Spruce Hill - - - - to 


Berlin Mountain, 


N. W. 82 05 57.31 


58847.67 


58288.84 


6088.76 




Clarksburg Station, - 


N. W.45 54 57.50 


33634.32 


24160.23 


23399.82 




Jilson's or Rowe & Whi- ? 
tingham State line, ^ 


N. E. 64 01 17.25 


56825.55 


51083.80 


24891.55 




Walnut Hill, - 


S. E. ^85 13 07.43 


79522.40 


79245.70 


6628.36 




Williamstown Church, 


N. W.67 IG 33.15 


41030.65 


37845.65 


15849.92 


South end of base - - to 


Hilliard's Knob, 


S. E. 49 17 20.00 


37097.41 


28120.13 


24196.06 




Mount Lincoln, 


S. E. 86 49 00.99 


51628.54 


51548 90 


2866.73 


S. W. corner of State to 


Conn't State line bound, - 


S. E. 


89 01 48.17 


7225.. 37 


7224.03 


122.30 


Walnut Hill ... to 


Bear Mountain, 


S. E. 


76 14 33.66 


96857.74 


94079.02 


23033.77 




High Ridge Hill, - 


S. E. 


11 47 36.08 


75529.82 


15437.00 


73935.30 




Hilliard's Knob, 


S. E. 


29 44 28.23144854.27 


71659.70 


125773.43 




Leydon and Guilford, Vt. ? 
State line Station, ^ 


N. E. 


50 47 49.80 


46561.80 


36081.35 


29430.13 




Mere's Hill, - 


S.W. 


1 54 41.19 


68168.48 


2273.70 


66125.02 




Mount Grace, . - - 


N. E. 


82 21 16.56113643.29 


112633.03 


15119.31 




Warwick (N. H.) State line. 


N. E. 


77 42 34.20124849.49 


121938.03 


26576.51 


Winchel's Mountain - to 


Birch Stake Station, 


S. E. 


11 09.13 6689.62 


21.70 


6G69.59 




Hilliard's Knob, 


N. E. 


49 24 53.85139271.74 


105768.66 


90606.84 




Mount Tom, - - - 


N. E. 


45 34 23.41 95983.89 


68546.40 


67188.50 




Peaked Mountain, - 


S. E. 


88 49 52.62 


152574.35 


152549.67 


3112.20 




Proven's Mountain, - 


N. E. 


79 38 04. OC 


54465.00 


53576.10 


9799.72 




Rattlesnake Mountain, 


S. E. 


86 23 38.81 


134550.28 


134283.90 


8462.29 



TRIGONOMETRICAL SURVEY. 



SECTION I. 

TABLE 2. 

This Table shows the Bearings, with the Northings, Sojithi7igs, Eastings or Westings 
made on each course, from jn'imitive stations to secondary objects, in the first section, 
on parallels to the meridian of Frenches Hill. 



WHAT OBJECTS FROM WHAT STATIONS. 



Direc- 
tions. 



Bearings. 



Norlhings 

or Southings 

in feet. 



Eastings 

or Westings 

in feet. 



Adams North Church, 

" South Church, 
Becket, Wadman's Station, 

(( It " . . 

« Church, 

(i « _ _ ■ 

Bemardston Church, - 

Blandford, North Church, - 

(( (t (t . . 

" South Church, - 

u « « . . 

Cheshire, Round's Rocks, - 

a (( « . , 

(( f( « . . 

" Church on hill, - 
" Church in valley, 
Chester, old Church, 

Chesterfield Church, - 

" « . . . 

Dalton Church, 
Deerfield Church, 

" Bloody Brook Church, 



from 



Spruce Hill, - 
" *' » - 

Seymore's Mountain, 
Becket Station, 
More'sHill, - 
Dug Hill, 
Mount Grace, - 
High Ridge Hill, - 
Mount Tom, - 
Winchel's Mountain, 

Proven's Mountain, 
Perry's Peak, - 
Pittsfield Church, - 
French's Hill, 
Spruce Hill, - 

Dug Hill, 
More's Hill, - 
French's Hill, 
More's Hill, - 
Pittsfield Church, - 
High Ridge, - 



N. W, 

S.W. 

N.E. 

S. E. 

S.W. 
N. W. 

S.W. 

N.E. 

S.W. 
N. W, 
N. W, 
N. W. 

N.E. 

N.E. 
N. W, 

S.W. 

S.W. 

N.E. 

S.W. 

S. E. 

S.W. 

N.E. 

N.E. 

N.E. 



O / 

46 07 19 

37 48 08 
1 10 19 

70 04 46 

49 05 46 

50 06 16 
81 30 46 

28 57 30 
79 38 22 
11 00 45 

9 19 07 
59 54 51 

38 29 21 
15 54 39 
36 13 20 
19 10 20 
33 28 20 

8 20 53 
30 37 37 
76 25 50 

29 56 47 
70 44 37 
40 27 00 
66 31 36 



10818.50 
18400.30 
84231.00 

4743.60 
65789.37 
28204.63 

7794.00 
81259.32 
14410.49 
52779.00 
45130.65 
35330.30 
61527.00 
51538.42 
59400.50 
34726.00 
39128.22 
30195.20 
03800.00 
12837.30 
20565.44 

9319.44 
35719.44 
13239.00 



11250.70 
14274.00 

1723.12 
13090.00 
75939.00 
33737.66 
52230.41 
44900.45 
78822.12 
10271.15 

7405.48 
60982.72 
48921.82 
14691.65 
43510.00 
12075.13 
25871.12 

4430.87 
37771.70 
53187.07 
15304.44 
20077.22 
30455.16 
30486.42 



6 



TRIGONOMETRICAL SURVEY. 
SECTION I. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 



Deerfield, Bloody Brook Church, 
Easthampton Church, 

Egremont, Hollenbeck's Church, 

" Little York Church, 
Goshen, North Church, - 

(( an , ^ 

" South Church, - 

tt t( i( _ _ 

Great Barringlon, Gibson's Hill, 

" " Church, 

Granville, Skunk Hill, - 

t: tt tt ^ _ 

" West Church, - 
" East Church, - 

Greenfield Church, 

Hatfield Church, - 

(( tt . _ . 

Hawley Church, ... 
tt tt _ . . 

Heath Church, ... 

tt tt ... 

Toby three point station, - 

tt tt tt _ _ 

It tt tt _ . 

Lee Church, - - . . 

Lenox Cliurcli, on hill, 

ft tt (( _ ^ 

Middlefield Church, 

tt tt ^ ^ _ 



from 



Walnut Hill, - 

Winchel'a Mountain, 

Proven's Mountain, - 

Bald Peak, 
tt tt . . 

More's Hill, 

High Ridge Hill, - 

More's Hill, - 

High Ridge Hill, - 

Bald Peak, 
tt tt _ _ 

Winchel's Mountain, 
Dug Hill, 
Skunk Hill, - 
Winchel's Mountain, 
High Ridge, 
HiUiard's Knob, 
Mount Esther, - 
Saddle Mountain, 
Spruce Hill, 
Saddle Mountain, 
More's Hill, - 
Pitlsfield Churcli, 
Perry's Peak, - 
Becket Station, 
Toby Station, - 
Bald Peak, 

Alander Mountain, - 
Dug Hill, 
Wadman's Hill, 



Direc- 
tions. 



S. E. 
N. E. 
N. E. 

N. E. 

N. W 
S.W. 

s. w. 

S.W. 

S.W. 

N. E. 

N. E. 
N. W, 

S. E. 
N. W, 

N. E. 

N. E. 
N. W, 

S. E. 

S. E. 

S. E. 

N. E. 
N. W. 

S. E. 

S. E. 
S.W. 
N. W. 

N. E. 

N. E. 
N. W. 

N. E. 



Bearinsrs. 



I Northings 
i or Southings 
in feet. 



37 OG 39, 

38 34 15 
7 10 33 

13 14 05 
3 35 40 

39 58 02 
88 34 50 

28 16 37 
83 21 25 
25 46 47 

29 53 55 
58 22 20 

3 37 19 
56 52 20 
G3 24 20 
31 42 12 
45 25 10 
31 27 38 
74 13 26 
55 37 55 
81 47 59 

7 42 24 

1 16 33 
29 19 26 
53 18 34 

1 33 33 
23 20 55 
31 09 42 
21 25 32 
45 47 27 



60699.41 

77941.50 

68142.00 

21373.20 

34837.30 

6370.98 

571.20 

8388.90 

2588.30 

31836.06 

33843.52 

4565.10 

49690.65 

2633.36 

3245.55 

50G88.72 

23200.00 

30224.80 

20984.30 

32954.64 

13366.63 

76154.40 

73855.23 

63865.90 

20283.04 

21374.60 

95131.70 

100321.62 

51531.00 

21709.53 



Eastings 

or Westings 

in feet. 



TRIGONOMETRICAL SURVEY. 
SECTION I. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc- 
tions. 


Bearings. 


Northings 

or Soulhings 

in feet. 


Eastings 

or Westings 

ill feet. 








/ // 






Mount Washington Church, - from 


Bald Peak, 


S.W. 


84 43 41 


823.29 


8922.32 


C( (( (C _ u 


Alander Mountain, - 


N. E. 


67 45 25 


4366.55 


10677.00 


New Marlborough South Church, " 


Bald Peak, 


S. E. 


88 25 25 


1491.87 


54210.60 


Northampton Church, - - " 


Hilliard's Knob, 


N. W. 


81 44 22 


4746.96 


32696.80 


« « - - " 


Winchel's Mountain, 


N. E. 


37 27 53 


95353.00 


73073.60 


tC (C ^ _ (t 


High Ridge, - 


S. E. 


26 44 26 


47092.60 


23726.90 

* 


Otis, East Church, - - - « 


Seymore's Mountain, 


N.E. 


24 30 57 


41577.02 


18961.62 


((It n ■ - . " 


Jackson's Hill, - 


S.W. 


88 22 26 


156.49 


5512.25 


" Filley's Hill, three point, - 


Seymore's Mountain, 


N.E. 


3 25 59 


58029.14 


3481.16 


tt U (( (( li _ it 


Becket Station, 


S. E. 


23 37 51 


30943.00 


14845.90 


" Centre Church, - - " 


Filley's Hill, - 


S.W. 


2 22 40 


8133.80 


337.75 


Peru Church, ... « 


Saddle Mountain, 


S. E. 


23 55 03 


72533.00 


32108.64 


" " . . . . " 


Spruce Hill, 


S. E. 


4 06 50 


84505.00 


0077.98 


« " . . . . " 


French's Hill, - 


N. W. 


31 06 29 


3981.31 


2402.44 


Pittsfield Church, - - - 


Saddle Mountain, 


S.W. 


18 59 27 


68656.06 


23627.80 


(( (C _ _ _ « 


Perry's Peak, - 


N.E. 


73 43 56 


9988.70 


34230.28 


Richmond Church, - - - ' 


** " - - 


S. E. 


16 55 28 


11110.11 


3380.70 


Sandisfield, Morley's Hill, - " 


Jackson's Hill, - 


S.W. 


86 50 57 


2143.90 


40896.76 


tt f( tt ^ it 


Seymore's Mountain, 


N. W. 


22 31 42 


39592.40 


16422.70 


tt tt tt _ tt 


Bald Peak, 


N.E. 


72 19 19 


23217.60 


72846.60 


tt (( (( _ (( 


Becket Station, 


S.W. 


5 51 05 


49380.16 


50G0.60 


" Fargo Station - " 


Morley's Hill, - 


N. W. 


88 26 42 


127.68 


4703.47 


" North Church, no spire, " 


" " . . 


S.W. 


8 50 18 


5751.50 


894.32 


Village Church, - 


Jackson's Hill, - 


S.W. 


57 15 32 


22104.33 


34376.76 


C( (( (( ^ tt 


Seymore's Mountain, 


N. W. 


26 46 37 


19628.40 


9905.10 


Sheffield Church, - - - " 


Bald Peak, 


N.E. 


81 56 30 


3026.05 


21373.52 


Tolland Church, no spire, - " 


Seymore's Mountain, 


N.E. 


70 34 40 


8720.52 


24732.63 


ti it U . _ (C 


Winchel's Mountain, 


N. W. 


74 06 20 


8566.15 


30082.78 


Tyringham Church, - - " 


Fargo Station, - 


N. W. 


43 40 05 


12159.32 


11606.71 


Washington Church, - - " 


Dug Hill, 


N. W. 


43 33 06 


57933.73 


55076.42 



TRIGONOMETRICAL SURVEY. 
SECTION I. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc- 
tions. 


Bearings. 


Norlhings 

or Southings 

in feet. 


Eastings 

or Westings 

in feel. 


Westfield Church, - - - from 


Proven's Mountain, - 


N. W. 


o / // 

42 55 27 


12908.00 


12005.00 


" **_-_" 


Peaked Mountain, - 


N. W. 


76 54 03 


25821.91 


110970.30 


West Springfield Church, - " 


Proven's Mountain, - 


N. E. 


62 51 52 


10993.22 


21449.80 


(( li u . . c( 


Mount Tom, 


S. E. 


7 57 19 


46395.00 


0483.46 


" " Ireland Parish, " 


" *' . - 


S. E. 


16 31 2G 


17044.56 


5056.56 


(( i( a <t (( 


Peaked Mountain, 


N. W. 


55 59 28 


53261.74 


78937.35 


" " Feeding Hills Ch., " 


Proven's Mountain, - 


S. E. 


46 44 42 


4619.95 


4910.30 


Westliampton Church, - - " 


Mount Tom, 


N. W. 


56 35 02 


23019.20 


34889.10 


Whately Church, - - - " 


Mount Lincoln, 


N. W. 


64 21 58 


27519.01 


57412.70 


« " ..." 


Hilliard's Knob, 


N. W. 


34 48 34 


48880.70 


33985.00 


Williamstown Church, - - " 


Spruce Hill, 


N. W. 


67 16 33 


15849.92 


37845.05 


(C C( _ _ (( 


Berlin Mountain, 


N. E. 


69 12 36 


7761.70 


20443.48 


(( *( . . (( 


Clarksburg Station, - 


S.W. 


61 07 02 


7549.4] 


13685.46 


Williamsburg Church, - - " 


Mount Tom, 


N. W. 


23 05 03 


57546.30 


24.526.80 


" (£ _ . (( 


Hilliard's Knob, 


N. W. 


61 04 30 


34125.00 


61753.24 


Windsor Brick Church, - - " 


Pittsfield Church, 


N. E. 


66 06 00 


23549.83 


53143.20 


u u (C _ . a 


French's Hill, - 


N. W. 


9 09 04 


31412.55 


5060.22 


Worthington Church, - - " 


Dug Hill, 


N. E. 


00 34 06 


70008.20 


695.05 


U it . . « 


More's Hill, - 


S.W. 


00 02 31 


23924.00 


41507.50 


Norwich Church, no spire, - " 


Dug Hill, 


N. E. 


4G 29 38 


26126.01 


27525.20 


Southampton Church, - - " 


Mount Tom, - 


S.W. 


78 02 02 


4723.57 


22287.40 


Sandisfield bound stone in Conn. ) „ 
line, on road to Colebrook, ^ 


Seymore's Mountain, 


S.W. 


37 28 55 


5738.31 


4400.30 



TRIGONOMETRICAL SURVEY. 



SECTION I. 

TABLE 3. 

This Table shows the Northinrrs and Eastings, from the Southioest corner of the State, 
of primary stations in the first section, together icith their Latitudes and Longitudes. 

[Tliere are a numl»er of objects or stations in this section, situated south of the southwest corner of tlie Stale. In this and the 
following Table, they are designated by the negative sign, and the figures indicate their distances] 



NAJIES OF STATIONS. 


Towns in which situated 


Northings 
in feet. 


Eastings 
in feet. 


Latitude. 


Longitude. 


Alander Mountain, - . - 


Mount Washington, 


13680.06 


4598.04 


/ // 

42 05 15.03 


/ // 

73 30 42.67 


Bald Peak, . . . . 


a (t 


18875.90 


24197.34 


42 06 07.28 


73 20 22.89 


Becket Station, - - - - 


Becket, 


91470.92 


102103.91 


42 18 06.85 


73 09 09.90 


Berlin Mountain, - . - 


Berlin, N. Y. 


233757.22 


64667.37 


42 41 31.89 


73 17 33.99 


Birch Stake Station, - - - 


Granville, 


4032.70 


168311.04 


42 02 23.09 


72 54 30.26 


Bumsket Hill, . - - - 


Paxton, 


93384.10 


439954.71 


42 18 05.58 


71 54 10.74 


Cardinal point, or the point from ^ 
whence to calculate tlie latitudes > 
and longitudes of 1st section, ) 


Peru, - 


112013.20 


131437.45 


• 


73 02 39.27 


Clarksburg Station, - . - 


Clarksburg, - 


249067.70 


98795.67 


42 44 03.90 


73 09 55.90 


College Chapel, ... 


Amherst, 


117047.81 


271765.07 


42 22 15.01 


72 31 28.49 


Connecticut line at - - - 


Granville, 


—4785.32 


167975.81 


42 02 15.65 


72 54 34.72 


" lino bound at - 


Mount Washington, 


—122.30 


7224.30 


• • 


• 


Dug Hill, . - - , - 


Blandford, 


56916.01 


157727.33 


42 12 25.46 


72 56 49.70 


French's Hill, - - - - 


Peru, - - - 


137180.66 


131437.45 


42 25 38.67 


73 02 39.27 


Greenfield Church, - - . 


Greenfield, - 


195792.40 


248951.70 


42 35 14.78 


72 36 27.21 


High Ridge Hill, 


Williamsburg, 


145106.67 


217042.20 


42 26 55.38 


72 43 28.01 


Hilliard's Knob, 


Amherst or Granby, 


93267.74 


274004.38 


42 18 20.38 


72 30 59.83 


Holcomb'a House, . - - 


Southwick, - 


—13428.30 


194385.31 


42 00 49.70 


72 48 44. 8S 


Jackson's Hill, - - . - 


Blandford, - 


44234.55 


137942.98 


42 10 20.29 


73 01 12.81 


Jilson's or Roive and Whiting- > 
ham Station, - - - ) 


Vermont line. 


250559.18 


174042.32 


42 44 18.48 


72 53 07.95 


Lcyden and Guilford Station, 


C( u 


248470.00 238380.77 


42 43 .55.78 


72 38 40.57 


More'sHill, . . - - 


Goshen, 


150908.49 199931.55 


42 27 53.29 


72 47 22.67 


Mount Esther, - - - . 


Whately, 


146691.85 


232028.75 


42 27 10.45 


72 40 16.48 



10 



TRIGONOMETRICAL SURVEY. 

SECTION I. TABLE 3 — Continued, 



NAMES OF STATIONS. 


Towns in which situated. 


Northings 
in teet. 


Eastings 
in leet. 


Latitude, 


Longitude. 


Mount Grace, . - - - 


Warwick, 


234159.27 


314837.80 


O / // 

42 41 29.56 


/ // 

72 21 41,92 


Mount Lincoln, - - - - 


Pelham, 


114598.42 


297494,75 


42 21 49,01 


72 25 45.80 


Mount Tom, . - - - 


Northampton, 


C9845.50 


236836.70 


42 14 30.95 


72 39 17.08 


Northampton Church, 


" _ - 


98014.87 


241368.56 


42 19 09.09 


72 38 14.93 


North end of base, 


Deerfield, 


150473.22 


246304.46 


42 28 46.44 


72 37 05.28 


Northwest corner of State, 


Williamstown, 


253344.52 


70417.85 


42 44 45.58 


73 16 17.63 


Peaked Mountain, 


Monson, 


456.44 


320832.96 


42 02 51.06 


72 20 47.03 


Perry's Peal{, . - - - 


Richmond, - 


135052.31 


39007.79 


42 25 15.81 


73 33 12.48 


Pittsfield Church, 


Pittsfield, - 


145041.07 


73237.70 


42 26 55.00 


73 15 36.12 


Proven's Mountain, - - - 


West Springfield, - 


12457.80 


221869.72 


42 05 04.58 


72 42 39.12 


Rattlesnake Mountain, 


Connecticut line, - 


—5803.96 


302573.63 


42 01 59.06 


72 24 49.86 


Saddle Mountain, . . - 


Adams, 


213698.49 


96866.64 


42 38 14.42 


73 10 22.11 


Seymore's Hill, - - - - 


Sandisfield, - 


2499.15 


113468.60 


42 03 27.85 


73 00 37.64 


South end of base, - - - 


Hatfield, 


117465.84 


245946.00 


42 22 21.07 


72 37 12.67 


Southwest corner of State, - 


. 


• 




42 02 59.54 


73 31 42.66 


Springfield Court House, - 


Springfield, - 


18577.06 


253048.60 


42 06 03.59 


72 35 44.93 


Spruce Hill, - . . - 


Adams, 


225668.20 


122956.71 


42 40 12.93 


73 04 32.87 


Stale House, - . . - 


Boston, 


118213.65 


664843.00 


42 21 30.00 


71 04 09.00 


Tufls'Hill, . - . - 


New Braintroe, 


98467.07 


389265.20 


42 19 01.90 


72 05 24.96 


Wachusett Mountain, 


Princeton, 


161806.52 


441791.92 


42 29 21.21 


71 53 33.885 


Walnut Hill, - - - - 


Charlemont, - 


219039.91 


202205.42 


42 39 06.37 


72 46 51.00 


Williamstown Church, 


Williamstown, 


241518.22 


85110.22 


42 42 49.08 


73 13 00.26 


Winchel's Mountain, - 


Granville, 


2655. IC 


168288.66 


42 03 29.17 


72 54 30.41 



TRIGONOMETRICAL SURVEY. 



11 



SECTION I. 

TABLE 4. 

This Table shows the Northings and Eastings, from the Southwest corner of the State, 

of secondanj objects in the first section, together with their Latitudes and Longitudes. 



NAMES OF OBJECTS. 



Norlhings 
in feel. 


Eastings 

in feet. 


Latitude. 


Longitude. 






O f II 


o / // 


230486.70 


111706.01 


42 41 59.74 


73 07 03.71 


207267.90 


108682.71 


42 37 11.04 


73 07 43.83 


86723.63 


115192.81 


42 17 20.06 


73 06 15.55 


85120.18 


123991.11 


42 17 04.27 


73 04 18.40 


226365.48 


262608.12 


42 40 16.10 


72 33 22.18 


55434.58 


158016.04 


42 12 10.81 


72 50 45.88 


47786.95 


160885.09 


42 10 55.22 


72 50 07.80 


190.580.48 


87928.80 


42 35 25.14 


73 12 21.34 


190942.20 


110881.68 


42 34 29.75 


73 07 14.21 


186539.98 


97085.59 


42 33 46.11 


73 10 18.01 


87110.15 


162159.05 


42 17 23.74 


72 55 50.23 


124343.20 


184625.76 


42 23 31.22 


72 50 49.90 


154360.51 


99914.92 


42 28 28.19 


73 09 40.19 


180826.11 


248097.36 


42 32 46.95 


72 30 39.70 


158343.08 


248129.34 


42 29 04.82 


72 30 40.78 


80598.23 


230446.09 


42 16 17.50 


72 40 41.42 


40249.10 


29224.04 


42 09 38.09 


73 25 17.40 


53713.20 


22008.94 


• 


• 


144536.49 


194591.04 


42 26 50.49 


72 48 30.32 


142519.00 


195418.68 


• 


• 


50711.96 


39573.62 


• 


• 


52719.42 


43657.14 


42 11 42.50 


73 22 06.26 


7223.11 


160874.48 


• 


• 


9856.47 


156839.18 


42 04 40.48 


72 57 02.19 


5900.71 


174771.46 


. 


• 



Adams North Church, ... 

" South Church, 
Becket, Wadman's Station, 

" Church, 

Bemardston Cliurch, - - - . 
Blandford North Church, - - - 

" South Church, - 
Cheshire Rounds' Rocks, ... 

" Church on the Hill, 

" " in Valley, 

Chester Old Church, - - - - 
Chesterfield Church, - - . - 
Dalton Cliurch, . - . - . 
Deerfield Church, .... 

" Bloody Brook Church, - 
Easthampton Cliurch, .... 
Egremont Church by Hollenbeck's Tavern, 

" " Little York, - 

Goshen North Church, ... 

" Soutli Church, 
Great Barrington, Gibson's Hill, - 

" " Church, - 

Granville Skunk Hill, 

« West Church, - 

" East Church, 



12 



TRIGONOMETRICAL SURVEY. 

SECTION I. TABLE 4 — Continued. 



NAMES OF OBJECTS. 



Norlhlngs 
in feet. 



Eastings 
in leet. 



Latitude. 



Lonsritude. 



Greenfield Church, - - - - - 

Hatfield Church, . - - - . 

Hawley Church, ..... 

Heath Church, ------ 

Lee, Toby 3 point Station, Tyringhatn, 
Lee Church, -.-... 
Lenox Church on Hill, - - - . 
Middlefield Church, ..... 

Mount Washington Church, ... 
New Marlborough South Church, 
Northampton Congregational Church, . 
Norwich old Church, no spire, ... 
Otis East Church, ..... 

« Filley's Hill 3 point Station, 

" Center Church, 

Peru Church, -..-.. 

Pittsfield Church, 

Richmond Church, ..... 
Sandisfield, Morloy's Hill, . - - - 
" Fargo Station, .... 

" North Chtirch, no spire, - 

" Village Church, 

Sheffield Church, 

Southampton Church, - - . . - 
Tolland old Church, no spire, - - - 
Tyringham Church, . - . . - 
Washington Church, . - - . . 

Westfield Church, 

West Springfield Church, (north of Academy,) 

" " Ireland Parish Church, - 



195795.39 

116467.40 

192713.87 

227064.00 

71186.71 

92561.31 

114007.64 

108435.38 

18052.61 

17384.03 

98014.87 

83042.62 

44077.10 

60528.10 

52394.30 

141163.55 

145041.07 

123942.20 

42091.59 

42219.27 

36340.09 

22128.88 

21901.95 

65121.93 

11220.49 

54378.59 

114850.31 

25365.63 

23450.76 

52803.12 



248952.30 

250522.14 

171143.50 

189623.74 

74882.91 

74301.11 

05263.26 

137510.02 

15275.03 

78407.94 

241368.56 

185252.53 

132430.47 

110949.78 

116612.03 

129035.00 

73237.70 

42388.49 

97044.84 

92341.37 

96150.52 

103504.80 

45570.86 

214549.24 

138203.55 

80734.66 

102650.91 

209863.69 

243319.84 

241894.43 



42 35 14.78 
42 22 10.97 
42 34 47.00 
42 40 26. 

42 18 17.10 
42 21 48.76 



72 36 27.21 
72 36 11.73 
72 53 48.18 

72 49 39.81 

73 15 20.18 
73 17 21.36 



42 20 54.65j 73 01 18.34 
42 05 58.73| 73 28 21.26 
42 05 54.40 73 14 23.19 
42 19 09.091 72 38 14.93 
42 16 43.13 72 50 42.89 



42 11 40.88 73 05 50.36 



42 26 18.01 
42 26 55.60 



73 03 11.33 
73 15 36.12 



42 23 26.16 73 22 26.80 



42 06 41.71 
42 06 38.06 
42 13 45.20 
42 04 54.08 
42 11 59.99 
42 21 57.85 
42 07 12.55 
42 06 52.27 



73 08 49.33 
73 21 39.29 

72 44 13.77 

73 01 09.48 
73 13 53.35 
73 09 03.01 
72 45 17.88 
72 37 53.75 



TRIGONOMETRICAL SURVEY. 
SECTION I. TABLE 2 — Continued. 



13 



NAMES OF OBJECTS. 



Northings 
in feet. 



In feef Latitude. 



Longitude. 



West Springfield, Feeding Hills Church, 
Westhampton Church, - . . 
Whately Church, .... 
Williarastown Church, - . . 
Williamsburg old Church on Hill, 
Windsor Brick Church, ... 
Worlhington Church, ... 



7837.85 
92864.70 
142148.23 
241518.22 
127392.27 
168592.05 
126984.65 



226780.02 
201947.60 
240080.71 
85110.22 
212310.52 
126379.06 
158423.21 



42 18 19.73 
42 26 25.20 
42 42 49.08 
42 24 00.57 
42 30 49.01 
42 23 57.76 



72 47 00.24 

72 38 29.30 

73 13 00.26 

72 44 40.63 

73 03 46.86 
72 56 39.35 



The following are the results of work done with the small si.\-inch Theodolite that reads to a minute only, 
in the minor triangulation. From the manner in wliicli these results were obtained, they are probably not so 
accurate as they would have been had they come more direct from the primitive stations; still it is presumed 
that none will be found in error to exceed ten feet, and the most of them are much nearer. 



Marshall's Hill, - 
Manatuck Mountain, 



Oak-Tree Boundary in Connecticut State Line at Gran- 
ville, marked in 1717, - - . . - 

Boundary Stone in Connecticut Line at Granville, in 
west part of town, ----- -^ 

Boundary Stone in Connecticut Line, on road from ) 
Sandisfield to Colebrook, . - - . ^ 

Chimney of Amasa Holcomb's House in Southwick, 

Boundary Stone at N. W. corner of Southwick Jog, - 

" " at S. W. corner of Southwick Jog, 

" " at S. E. comer of Southwick Jog, 

" " at N. E. comer of Southwick Jog, 

" " in Connecticut Line, on east side ot ) 

Connecticut River, - - ) 

" " in Connecticut Line, on west side of 

Connecticut River, 

" " in Connecticut Line, on road from 

Sheffield to Salisbury, - 



-22933.64 183419.76 
-18968.75 203529.23 

—4752.981 176064.08 



—4666.14 

—3239.20 

—13428.30 

—5064.90 

—19286.50 

—17215.30 

—5159.38 

—9262.72 

— 6908.&3 

—336.00 



150798.00 

109068.30 

194385.80 
192198.84 
191332.50 
205000.52 
207916.10 

249318.63 

247259.23 

39760.20 



42 02 15.84 72 52 47.44 



42 02 17.03 72 58 22.52 



42 02 31.11 73 07 35.94 



42 00 49.70 
42 02 12.39 

41 59 51.89 

42 00 11.98 
42.02 11.00 

42 01 28.74 
42 01 52.10 
42 02 58.11 



72 48 44.80 
72 49 13.51 
72 49 25.47 
72 46 24.23 
72 45 45.07 

72 36 36.31 

72 37 03.46 

73 22 55.27 



14 



TRIGONOMETRICAL SURVEY. 



gECTIOl^ lie 

TABLE 1. 

2'Ae following Table shows the Bearings from one Station to another on Parallels to the 
meridian of Tufts'' Hill, with the Northings, Southings, Eastings or Westings made 
on each course. 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
m feet. 


Northings 

or Southings 

in feet. 


Eastings 

or Weslings 

in feet. 








o / // 








Alum Pond Hill - to 


Bald Hill, - 


N. E. 


57 22 03.83 


1C94S.28 


9138.47 


14273.54 




Fay's Mountain, 


N. E. 


24 12 27.83 


87775.92 


80059.00 


35992.92 




Hatchet Hill, - 


N. W. 


88 25 52.17 


86191.44 


2361.56 


86159.67 




Mount Daniel, 


N. W.' 76 10 35.17 


11275.43 


2693.50 


10948.51 




N. E. corner of Conn. 


N. W. 


84 31 45.17 


10532.70 


1003.67 


10484.51 


Bald Hill - - - to 


Chestnut Hill, 


N. E. 


78 59 42.83 


37684.15 


7190.43 


30991.02 




Fay's Mountain, 


N. E. 


17 01 38.13 


74169.85 


70920.52 


21719.38 




Miscoe Hill, - - - 


N. E. 


49 19 17.83 


45761.73 


29828.83 


34704.57 


Bear Mountain - - to 


High Ridge Hill, - 


S. W. 


57 43 40.23 


93677.84 


50018.97 


79206.37 




More'sHiU, - 


s. w. 


C5 33 27.83 


106383.10 


44019.53 


96849.52 


BumsketHill - - to 


Alum Pond Hill, - 


S.E. 


19 50 55.37 


108629.85 


102178.03 


36884.66 




Bald Hill, 


S.E. 


28 48 16.51 


106175.41 


93039.56 


511.58.20 




Chandler's Hill, - 


S.E. 


G9 50 29.11 


32012.68 


11035.13 


30051.32 




Colonel's Mountain, 


S. W. 


75 15 08.80 


93870.66 


23896.73 


90785.03 




Fay's Mountain, 


S.E. 


73 07 02.01 


76159.24 


22119.04 


72877.58 




Hatchet Hill, - 


s. w. 


26 16 29.21 


111312.38 


99816.47 


49275.01 




Hawes'Hill, - 


N. W. 


46 30 30.87 


82455.04 


56746.59 


59818.18 




Mugget Hill, - 


s. w. 


14 45 18.53 


63147.16 


61067.45 


16084.88 




Packard's Mountain, 


N. W. 


G4 39 15.98 


130170.47 


58292.61 


123074.12 


Colonel's Mountain to 


Hilliard's Knob, 


N. W. 


71 09 24.37 


79343.12 


25627.47 


75095.07 




Hitchcock's Hill, - 


S. W. 


7 41 58.83 


55344.12 


54847.31 


7412.29 




Mount Lincoln, 


N. W. 


47 45 34.77 


09466.22 


40696.10 


51430.82 




Mount Tom, - - - 


N. W. 


88 39 48.37 


112611.10 


2022.60 


112581.36 




Peaked Mountain, - 


S,W. 


23 11 08.53 


74634.82 


68610.33 


29381.66 



TRIGONOMETRICAL SURVEY. 
SECTION II. TABLE 1 — Continued. 



15 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
in feet. 


Northings 

or Southings 

in feet. 


Eastings 

or Westings 

iu feet. 








o / // 








Colonel's Mountain to 


Rattlesnake Mountain, - 


S.W. 


32 53 16.33 


87816.56 


73748.28 


47688.52 


Fay's Mountain - to 


Chestnut Hill, 


S. E. 


13 28 37.17 


65528.55 


63730.09 


15271.64 




Miscoe Hill, - . - 


S. E. 


17 32 15.17 


43092.38 


41091.69 


12985.13 


Hatchet Hill - - to 


Mount Daniel, 


N. E. 


89 44 29.83 


75233.52 


334.47 


75211.16 




N.W. corner of R. Island, 


S. E. 


84 45 24.44 


76441.67 


6993.96 


76115.86 


Hilliard's Knob - to 


High Ridge Hill, - 


N. W. 


46 47 07.57 


76623.95 


52466.13 


55842.96 




Mora's Hill, - 


N. W. 


51 29 39.67 


93905.86 


58465.57 


73486.11 




Mount Esther, 


N. W. 


37 33 24.17 


67978.70 


• 


• 




Mount Lincoln, 


N. E. 


48 19 15.43 


31684.21 


21068. G3 


23664.75 




Mount Tom, - 


S.W. 


58 27 47.58 


43981.62 


23004.87 


37486.29 




Peaked Mountain, - 


S. E. 


25 52 41.17 


104738.17 


94237.80 


45713.91 




Rattlesnake Mountain, - 


S. E. 


15 25 03.17 


103084.50 


99375.75 


27406.55 


Hitchcock's Hill - to 


High Rocky Ridge, 


S.W. 


50 33 53.53 


30415.93 


19320.69 


23493.57 




Monson State Line, 


S.W. 


9 30 55.53 


19865.88 


19593.31 


3285.00 


Mount Daniel - - to 


Bald Hill, - 


N. E. 


75 39 46.83 


26032.18 


6444.97 


25222.05 




N. E. corner of Connec't, 


S. E. 


15 21 26.17 


1752.75 


1690.20 


464.08 




N. W. corner of R. Island, 


S. E. 


6 54 52.17 


7381.03 


7327.40 


6S8.12 


Mount Grace - - to 


Bear Mountain, 


S.W. 


26 34 19.33 


42425.95 


37944.73 18978. 8D 

1 




High Ridge Hill, - 


S.W. 


48 08 33.03 


131823.91 


879C.3.70 98185.26 

1 




Hilliard's Knob, - 


S.W. 


16 46 44.53 


146673.71 


140420.83 42342.30 




Ley den &Guilford,Vt. line, 


N. W. 


78 46 09.86 


77874.65 


15164.55 76.383.01 




More'sHill, - 


S.W. 


54 42 55.83 


141894.46 


81964.26115828.41 




Warwick State line, 


N. E. 


39 51 21.83 


14790.48 


11.352.57 


0479.37 


Mount Lincoln - to 


High Ridge Hill, - 


N. W. 


68 27 03.97 


85483.00 


31397.50 


79507.71 




More'sHill, - 


N. W. 


08 56 47.17 


104099.91 


37396.94 97150.86 

1 


Mugget Hill - - to 


Chandler's Hill, - 


N. E. 


42 40 49.90 


68056.40 


50032.32 46136.20 

1 




Colonel's Mountain, 


IV. W. 


63 32 46.27 


83424,52 


37170.72 


74700.14 




Fay's Mountain, 


N. E. 


66 21 13.86 


97117.07 


38948.41 


68062.46 




Hatchet Hill, - 


S.W. 


40 33 57.67 


51029.60 


38749.02 


33100.13 




Hitchcock's Hill, - 


S.W. 


77 50 35.03 


83977.80 


17676.59 


82112.43 



16 



TRIGONOMETRICAL SURVEY. 
SECTION II. TABLE 1 — Continued. 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
in feel. 


Northings 

or Southings 

in feet. 


Eastings 

or We.siings 

in feel. 


MuggetHill - - to 


Mount Daniel, 


S. E. 


oil/ 1 

47 34 33.43 56959.97 


38417.08 


42021.03 




N. W. corner of R. Island, 


S. E. 


43 10 56.40 62742.10 


45742.98 


42925.73 


Packard's Mountain to 


Bear Mountain, 


N. W. 


22 56 49.67 49869.76 


45923.23 


19442.56 




Colonel's Mountain, 


S. E. 


21 26 41.17 88302.46 


82189.34 


32289.10 




High Ridge Hill, - 


s.w. 


87 37 22.13j 98735.02 


4095.74 


98648.93 




More's Hill, - - - 


N. W. 


89 03 42.77j 116307.37 


1903.70 


116292.08 




Mount Grace, 


N. W. 


19 04.57 


83870.24 


83868.00 


403.67 




Warwick State line Stat'n, 


N. E. 


5 24 33.83 


95645.04 


95320.53 


9015.73 


Peaked Mountain - to 


Hitchcock's Hill, - 


N.E. 


57 56 22.43 


25925.50 


13763.02 


21969.37 




Monson State line, - 


S. E. 


72 40 14.17 19576.14 


5830.29 


18684.36 




Mount Tom, - - - 


N. W. 


49 25 48.17, 109534.25 


71232.93 


83199.70 


Rattlesnake Mount'n to 


*»",-- 


N. W. 


40 21 04.17 100320.30 


76370.88 


64892.84 


Tufts' Hill - - - to 


Bumsket Hill, 


S. E. 


83 38 04.93 50941.80 


5643.85 


50628.58 




Hawes'Hill, - 


N. W. 


10 11 33.39 51922.78 


51102.74 


9189.60 




Mount Grace, - 


N. W. 


28 06 17.97 


154760.04 


136516.72 


72909.21 




MuggetHill, - 


S. E. 


27 22 29.67 


75125.42 


66711.30 


34543.70 




Packard's Mountain, 


N. W. 


53 59 24.94 


89555.26 


52648.76 


72445.54 




Wachusett Mountain, 


N.E. 


40 18 21.11 


82285.74 


62751.17 


53229.68 




Watatick Mountain, 


N.E. 


20 24 06.71 


147702.20 


138438.27 


51487.78 


Wachusett Mountain to 


Bear Mountain, 


N. W. 


76 08 02.97 


149472.75 


35820.82 


145117.78 




Bumsket Hill, 


S.W. 


2 10 39.28 


68447.05 


68395.02 


2601.10 




Chandler's Hill, - 


S. E. 


19 03 52.57 


84038.92 


79430.15 


27450.22 




Colonel's Mountain, 


S.W. 


45 20 05.95 


131288.91 


92291.75 


9*386.12 




Fay's Mountain, 


S. E. 


37 49 31.74 


114595.26 


90514 06 


70276.48 




Hawes'Hill, - 


S.W. 


79 25 45.29 


63497.23 


11648.43 


62419.28 




Mount Grace, - - - 


N. W. 


59 40 51.69 


146124 64 


73765.55 


126138.89 




MuggetHill, - 


S.W. 


8 12 49.10 


130803.24 


129462.47 


18686.00 




Packard's Mountain, 


S.W. 


85 24 09.07 


126078.12 


10102.41 


125675.22 




Pepperell State Line, 


N.E. 


45 44 56.22 


112450.23 


78468.25 


80546.92 


Watatick Mountain to 


Bear Mountain, 


S.W. 


74 27 42.06 


148815.55 


39866.28 


143375.88 



TRIGONOMETRICAL SURVEY. 
SECTION II. TABLE 1 — Contintjed. 



17 



NAIVIES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
in leet. 


Northings 

or Southings 

in feet. 


Eastings 

or Westings 

in feet. 


Watatick Mountain - to 


Hawcs'Hill, - 


S.W. 


o / // 

34 47 23.47 


106344.44 


87335.53 


60677.38 




Mount Grace, 


S.W. 


89 06 55.87 


124412.73 


1921.55 


124397.00 




Packard's Mountain, 


S.W. 


55 18 31.68 


150732.66 


85789.51 


123933.32 




Pepperell State Line Stat'n, 


N. E. 


68 03 52.01 


8-2336.32 


2781.15 


82288.82 




State Line, - - - 


N. W. 


16 29 09.86 


5531.15 


5303.84 


1509.29 




Wachusett Mountain, 


S. E. 


1 19 07.63 


75707.24 


75687.10 


1741.90 


Warwick, N. H. ) 
State line Station, ) 


Leyden &. Guilford, Vt. ) 
line, - - - J 


N. W. 


87 27 31.59 


85946.88 


3812.00 


858G3.31 



18 



TRIGONOMETRICAL SURVEY. 



SECTION II. 

TABLE 2. 

This Table shows the Bearings^ with the Northings^ Southings^ Eastings or Wcsdiigs 
9nade on each course^ from primitive stations to secondary objects^ in the second sec- 
iion^ on parallels to the vieridian of Ti/fts^ Hill. 



WHAT OBJECTS FROM WHAT STATIONS. 



Direc- 
tions. 



Bearing's. 



Norlliings 

or Soulhiiigs 

ill (ect. 



Eastings 

or Weslmgs 

in feet. 



Amherst South Church, - 
« College Chapel, - 

" North Church, - 

ti t( (( 

Ashburnham Old Church on hill, 

i( (t (( it u 

(( (( U It u 

Ashby Church, ... 

u u _ _ . 

Atliol Soutli Church, 

(t u " _ - . 

" North Church, 

" " " . - - 

Barre Church, ... 

*' '•--__ 

Belchertown Church, 

tt " - _ . 

Boylston Cliurch, - - . 
u t* - . _ _ 

Brookfield Bemis Hill, 

" " " . . 

" Church, 

Charlton North Church, - 



from 



Hilliard's Knob, 
More's Hill, - 
Hilliard's Knob, 
High Ridge, 
Hilliard's Knob, 
Mount Grace, - 
Wachusett Mountain, 
Watatick Mountain, - 

Wachusett Mountain, 
Bear Mountain, 
Mount Grace, - 
Bear Mountain, 
Mount Grace, - 
Hawes' Hill, - 
Wachusett Mountain, 
Mount Tom, - 
Peaked Mountain, 
Bumsket Hill, - 
Wachusett Mountain, 
Colonel's Mountain, - 
Hitchcock's Hill, 
Colonel's Mountain, ■ 
Bumsket Hill, - 



N. E. 
S. E. 
N. W. 
S. E. 
N. W. 
S. E. 
N. W. 
S.W. 
S. E. 
N. E. 
N. E. 
S. E. 
N. E. 
S. E. 
S. E. 
S.W. 
N. E. 
N. W. 
N. E. 
S. E. 
S. E. 
N. E. 
S. E. 
S.W. 



8 31 45 
64 07 21 

4 52 30 
74 09 01 

7 59 51 
81 35 57 

8 29 36 
19 04 43 
70 55 32 

14 27 45 
89 59 02 
45 18 07 
88 09 39 
45 38 54 

15 11 54 
67 47 13 
79 00 50 
10 55 41 
66 25 11 
39 55 22 
58 34 02 
48 35 22 
77 45 16 
17 41 40 



12G67.60 
34659.40 
23804.60 
14332.70 
38140.65 
17385.12 
56381.61 
19305.70 

6750.45 

68936.73 

16.11 

37921.54 

1796.71 
36148.20 
12460.61' 
24107.23 
12993.84 
84232.20 
19130.50 
49267.87 
19773.00 
35071.20 

7618.12 
60984.06 



1899.80 
71449.55 

2030.31 
50483.36 

5358.62 
117720.00 

8419.60 

6677.12 
19522.25 
17780.12 
57301.50 
38333.35 
559.53.80 
36975.64 

3385.08 
59034.50 
66934.12 
16263.34 
43829.26 
41227.63 
32351.67 
39766.80 
35100.04 
19457.80 



SE 



TRIGONOMETRICAL SURVEY. 
CTION II. TABLE 2 — Continued. 



19 



WHAT OBJECTS FROM WHAT STATIONS. 



Charlton North Church, 
Dudley Church, 



fiom 



U It 



Grafton Unitarian Church, 

(< a i( 

Granby West Church, 

<C (( (( _ 

« East Church, 

(( U (( _ _ 

Groton Church, 

tt ** _ _ _ 

Hadley Holyoke House, - 

<( a (t 

" Church, - 
Hardwick Church, - 

Harvard Church, 

t( (( _ _ 

" Baptist Church, - 

Holden Church, " 

Hubbardston Church, 
« « 

Lancaster Church, - 

U it . . 

Leicester Church, - 

(( i< _ - 

Longmeadow W. Church, 
" E. Church, - 



Tufts' Hill, - 
Hatchet Hill, - 
Mugget Hill, - 
Chandler's Hill, 
Fay's Mountain, 
Mount Tom, - 
Rattlesnake Mount'n, 
Mount Tom, - 
Rattlesnake Mount'n, 
Wachusett Mountain, 
Watatick Mountain, - 
Mount Tom, - 
Peaked Mountain, 
Hilliard's Knob, 
Mount Grace, - 
Tufts' Hill, - 
Bumsket Hill, - 
Wachusett Mountain, 
Bumsket Hill, - 
Wachusett Mountain, 
Bumsket Hill, - 
Wachusett Mountain, 
Bumsket Hill, - 
Wachusett Mountain, 
Bumsket Hill, - 
Wachusett Mountain, 
Chestnut Hill, - 
Fay's Mountain, 
Mount Tom, - 



Direc- 
tions. 



S. E. 

N. E. 
S. E. 
S. E. 
S.W. 

N. E. 

N. W. 

N. E. 

N. W. 

N. E. 

S. E. 

N. E. 

N. W. 

N. W. 

S. E. 

N. W. 

N. E. 

N. E. 

N. E. 

N. E. 

N. E. 

S. E. 

N. W. 



Bearing^s. 



Norlliings 

or Soulliings 

in leel. 



s.w. 


N 


E. 


S. 


E. 


N. 


w. 


N. 


W. 


S. 


E. 


S. 


E. 



25 04 12 

80 37 31 

12 40 30 
49 53 25 
51 51 52 
78 59 53 
22 28 27 

81 52 28 
19 52 06 
C3 28 26 
69 29 35 
37 48 41 
35 47 10 
59 33 58 
18 37 31 
68 39 13 
48 49 31 
86 24 36 
47 15 06 
89 08 38 
27 27 14 

7 42 26 
24 54 01 
80 56 17 
46 55 59 
78 12 42 
53 58 04 
88 16 54 

13 55 26 
29 32 09 



66034.00 

0670.51 
32094.44 
23138.70 
120.58.00 

5990.95 
82368.00 

5062.80 
81439.82 
42891.17 
32793.00 
21273.12 
92514.51 
13706.04 
124402.70 
12107.35 
73507.60 

5109.70 
69483.43 

1084.43 
18105.92 
50291.70 
63299.44 

5100.93 
56359.23 
12040.82 
65986.00 

2263.03 
69876.00 
65478.23 



Eastin«^s 

or Westings 

in feet. 



31171.10 
40404.00 
7218.10 
27468.60 
15358.10 
30815.20 
34074.42 
35459.74 
29429.90 
85928.30 
87676.50 
16507.90 
60689.51 
23314.23 
41927.24 
30979.60 
84041.84 
81413.20 
75171.15 
72570.50 
9406.83 
6806.16 
29383.00 
31982.16 
60290.47 
57094.84 
90714.56 
75435.50 
17323.48 
37099.87 



20 



TRIGONOMETRICAL SURVEY. 
SECTION II. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc- 
lions. 


Bearings. 


Norlhing's 

or Souihings 

in feel. 


Eastings 

or Westings 

in feet. 


Ludlow, Putts Bridge Factory, - 


from 


Mount Tom, - 


S. E. 


/ // 

54 42 58 


31142.21 


44009.70 


(f U 11 u 


11 


Rattlesnake Mountain, 


N. W. 


24 46 39 


45235.00 


20880.00 


Lunenburg Church, 


tt 


Wachusett Mountain, 


N. E. 


48 17 23 


38756.76 


43483.92 


" " . - - 


It 


Watatick Mountain, - 


S. E. 


50 45 57 


36930.44 


45226.10 


Marlborough Church, 


tt 


Fay's Mountain, 


N. E. 


25 03 11 


38857.05 


18163.16 


u u _ . 


tt 


Wachusett Mountain, 


S. E. 


59 42 44 


51655.80 


88441.56 


Millbury Church, - 


11 


Fay's Mountain, 


S.W. 


64 52 11 


19982.61 


42599.70 


" « - - - 


11 


Wachusett Mountain, 


S. E. 


14 03 40 


110499.74 


27675.80 


New Braintree Church, - 


tt 


Hilliard's Knob, 


N. E. 


87 52 07 


3865.43 


103862.14 


U t( t( _ _ 


It 


Mount Tom, 


N. E. 


79 14 25 


26861.22 


141351.20 


(t « « _ _ 


tt 


Peaked Mountain, - 


N.E. 


30 39 25 


98100.50 


58148.13 


New Salem Church, 


tt 


Hawes' Hill, - 


N. W. 


74 46 28 


15663.70 


57550.55 


(C (( « . _ - 


It 


Packard's Mountain, - 


N.E. 


22 00 51 


14118.07 


5708.12 


Northbridge Old Church, - 


It 


Chandler's Hill, 


S. E. 


31 56 26 


50056.30 


31206.50 


<t 11 " . . 


If 


Fay's Mountain, 


S.W. 


16 36 17 


38975.21 


11622.51 


" New Church, 


tt 


It tt _ _ 


S.W. 


16 58 42 


38741.33 


11828.40 


U 11 l( 


It 


Miscoe Hill, - 


N. W. 


84 35 38 


2348.76 


24819.10 


Northfield Church, - 


tt 


Bear Mountain, 


N. W. 


14 17 53 


37793.17 


9632.00 


« « . . - 


(1 


More's Hill, - 


N.E. 


46 49 45 


81817.50 


87215.72 


Oakham Church, - - - 


11 


BumsketHill, - 


N. W. 


64 09 34 


19002.90 


39238.50 


" « . . . . 


tt 


Wachusett Mountain, 


S.W. 


40 15 57 


49399.35 


41843.08 


Pelham Old Church, no spire, - 


tt 


Hilliard's Knob, 


N.E. 


42 29 05 


31496.42 


28845.70 


(1 (1 (1 (1 11 


11 


More's Hill, - 


S. E. 


75 14 13 


26968.17 


102337.31 


Petersham Church, - - - 


ti 


Tufts' Hill, - 


N. W. 


23 55 53 


C2378.30 


27683.14 


11 11 - _ _ 


ft 


Wachusett Mountain, 


S.W. 


89 43 59 


376.98 


80912.88 


Prescott Church, . - . 


tt 


Hawes' Hill, - 


S.W. 


68 59 50 


23517.32 


61255.84 


It It _ _ _ _ 


11 


Tuft's Hill, - 


N. W. 


68 36 24 


27594.50 


70437.00 


Princeton Old Church, - 


It 


Hawes' Hill, - 


S. E. 


89 24 32 


658.89 


63862.90 


It It 11 


ti 


Wachusett Mountain, 


S. E. 


6 41 17 


12309.14 


1443.40 


Rutland Church, 


ct 


Hawes' Hill, - 


S. E. 


55 58 22 


29531.80 


43737.90 



SE 



TRIGONOMETRICAL SURVEY. 

CTION II. TABLE 2 — Continued. 



21 



WHAT OBJECTS FROM WHAT STATIONS. 



Rutland Church, 
Shirley Church, 

Shrewsbury North Church, 

" South Church, 

CC tl it 

Shutesbury Church, 

K U 

South Iladley Church, 
ti tl (t . 

Spencer Church, 

ti (( _ 

Springfield Church, - 

" Court House, - 

U « II 

Sunderland Church, 

u ti _ _ 

Sutton Church, 

« " _ _ _ 

Templcton Church, 



from 



It It 

Upton Church, 

Uxbridge dark Church, - 
II ti II 

Warren Church, 
Wendell Old Church, - 

II II II _ 

Westborough Church, 
Westminster Church, 



Wachusett Mountain, 
II II 

Watatick Mountain, 
Chandler's Hill, 
Fay's Mountain, 
Chandler's Hill, 
Fay's Mountain, 
Bear Mountain, 
More's Hill, - 
High Ridge, - 
Mount Tom, 
Colonel's Mountain - 
Hitchcock's Hill, 

Mount Tom, - 

II II - _ 

Springfield Church, - 
HOliard's Knob, 
High Ridge, 
Bumsket Hill, - 
Fay's Mountain, 
Wachusett Mountain, 
Watatick Mountain, - 
Miscoe Hill, - 
Chestnut Hill, - 
Miscoe Hill, 
Colonel's Mountain, - 
Bear Mountain, 
Mount Grace, - 
Fay's Mountain, 
Mount Grace, - 



Direc- 

lioDS. 



s. w. 

N. E. 

S. E. 

N. E. 
N. W. 

N. E. 
N. W. 

S. E. 

S. E. 

S. E. 

N. E. 

N. E. 

N. E. 

S. E. 

S. E. 

S.W. 
N. W. 

N.E. 

S. E. 

S.W. 
N. W. 

S.W. 
N. W. 
N. W, 

S.W. 

S. E. 

S. E. 

S.W. 

N.E. 

S, E. 



Bearings. 



O I II 

24 24 08 

64 20 24 
55 27 04 
63 23 47 

48 19 15 
83 50 00 
59 50 52 

4 42 34 
87 12 30 
28 48 11 
73 07 43 
86 42 42 
51 20 24 
20 36 30 

16 54 24 
67 10 39 

17 33 45 
80 41 14 
33 47 20 
47 34 45 
63 37 22 
42 39 03 
19 28 42 
73 29 01 
36 20 23 

49 02 06 
28 43 26 
12 15 03 

18 02 01 

65 44 36 



Norlhings 

or Souihings 

in feel. 



41180.82 
30612.12 
45075.50 

9736.70 
20819.55 

2163.40 
13246.20 
48930.16 

4919.16 
69457.56 

6015.04 

3784.21 
58623.61 
50095.72 
51446.54 

1347.49 
58571.70 

6116.91 
55050.74 
32933.23 
24326.37 
51359.07 
17126.56 

4609.83 
18024.47 

8189.00 
14034.83 
51983.10 
10070.00 
54433.30 



Eastings 

or Westings 

in feet. 



18081.17 
63720.60 
65405.51 
19440.68 
23384.46 
20022.86 
22803.00 

4030.91 
100880.25 
38189.44 
19833.45 
65863.60 
73279.00 
18838.13 
15637.20 

3202.02 
18537.66 
37301.56 
36837.80 
36040.16 
49054.12 
47311.26 

6057.55 
15.546.20 
13259.52 

9432.00 

7691.45 
11287.42 

3278.41 
120800.00 



22 



TRIGONOMETRICAL SURVEY. 
SECTION II. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 



Westminster Church, 
Wilbraham North Church, 

Winchendon Church, 

Worcester Unitarian Church, 

Secondary Station, 

Antiquarian Hall, 

11 11 



from 



Watatick Mountain, - 
HiUiard's Knob, 
Mount Tom, - 
Hawes' Hill, - 
Wachusett Mountain, 
Chandler's Hill, 
Wachusett Mountain, 
Worcester Unitar. Ch., 
Chandler's Hill, 
Secondary Station, - 
Worcester Unitar. Ch., 



Direr- 
(ious. 



S.W. 

S. E. 
S. E. 
N. E. 
N. W. 
S.W. 
S. E. 
N. W. 
N. W. 
S. E. 
N. E. 



Beariiisfs. 



o / // 

3 39 11 
17 21 36 
52 53 25 

15 30 40 
33 28 46 
86 07 23 

16 30 20 
20 23 27 
78 04 42 
55 09 17 
60 46 25 



Northings 

or Soulliings 

in feet. 



56355. OC 

67282.65 

44270.70 

74698.12 

63038.20 

260.09 

79696.40 

1161.63 

901.44 

777.92 

383.60 



Eastings 

or Weslings 

in feet. 



3597.95 
21033.50 
58515.73 
20731.22 
41691.54 

3837.90 

23615.54 

431.76 

4269.65 

1117.40 
685.64 



TRIGONOMETRICAL SURVEY. 



23 



SECTION 2. 



TABLE 3. 

This Table shows the Soiilhivgs and Westings of Stations in the second scctio7i, from 
Pcpperell State Line Station, {it being the most northeasterly station in the section,^ on 
parallels to the meridian of Tvfts^ Hill, together xoith their Latitudes and Longitudes. 

[In this Seclion there are several points or stations situated east and north of the Peppcrell State Line Station. In tljis and the 
following Table, they are dcsig;nated by the negative sign — , and the figures indicate their distances.] 



NAMES OF STATIONS. 


Towns in vvliich situated. 


Southings 
in feel. 


Westings 
in feet. 


Latitudes. 


Longitudes. 


Alum Pond Hill, 


Douglas, 


249041.30 


46263.36 


O t 11 \ O 1 II 

42 01 14.89 71 46 04.71 

1 


Amherst College, . - - 


Amherst, 


121330.76 


251061.52 


42 22 15.61 72 31 28.49 


Antiquarian Hall, - - - 


Worcester, - 


15/7-8.14 


56247.47 


42 16 17.04 71 48 13.04 


Bald Hill, 


Douglas, 


239902.83 


31989.82 


42 02 44.62 


71 42 54.93 


Bear Mountain, - - - - 


Wendell, - 


42647.43 


225604.70 


42 35 13.99 


72 25 54.18 


BumsketHill, - - . - 


Paxton, 


146863.27 


83148.02 


42 18 05.58 


71 54 10.74 


Chandler's Hill, - - - - 


Worcester, - 


157898.40 


53096.70 


42 16 15.70 


71 47 31.07 


Chestnut Hill, - - - . 


Mendon, 


232712.40 


—5001.20 


42 03 53.70 


71 34 43.76 


Colonel's Mountain, - - . 


Palmer, 


170760.00 


173933.04 


42 14 09.06 


72 14 19.15 


Fay's Mountain, ... 


Westborough, 


108982.31 


10270.44 


42 14 24.31 


71 38 01.84 


Hatchet Hill, . . . - 


Southbridge, 


246679.74 


132423.03 


42 01 39.86 


72 05 07.00 


Hawes'Hill, . . . . 


Barre, . - - 


90116.68 


142966.20 


42 27 26.79 


72 07 27.63 


High Ridge Hill, - - - 


Williamsburg, 


92666.40 


304871.07 


42 26 55.38 


72 43 28.61 


High Rocky Ridge, Conn, line, - 


Monson, 


244928.00 


204838.90 


42 01 56.09 


72 21 07.26 


Hilliard's Knob, - - . - 


Amherst or Granby, 


145132.53 


249028.11 


42 18 20.38 


72 30 59.83 


Hitchcock's Hill, 


Wales, - 


225607.31 


181345. a3 


42 05 07.61 


72 15 56.25 


Leyden and Guilford Station, in 


Vermont line. 


—10461.85 


283069.72 


42 43 55.78 


72 38 40.57 


Miscoe Hill, .... 


Mendon, 


210074.00 


—2714.69 


42 07 37.57 


71 35 12.32 


Monson line Station, - - - 


Monson, 


245200.62 


184630..34 


42 01 53.92 


72 16 39.28 


More'sHiU, - . . . 


Goshen, 


86660.96 


322514.22 


42 27 53.29 


72 47 22.67 


Mount Daniel, - - - . 


Webster, 


240347.80 


57211.87 


42 01 41.91 


71 48 29.73 


Mount Grace, . . - - 


Warwick, 


4702.70 


206685.81 


42 41 29.56 


72 21 41.92 


Mount Lincoln, . . . . 


Pelham, 


124063.90 


225363.36 


42 21 49.01 


72 25 45.80 



24 



TRIGONOMETRICAL SURVEY. 
SECTION II. TABLE 3 — Continued. 



NAJIES OF STATIONS. 



Towns in which situated 



Soutl'ings 
in leet. 



Westings 
in feet. 



Latitudes. 



Longitudes. 



at 



Mount Tom, ... 

Mugget Hill, - - - 

Northeast corner of Connecticut 

Northwest corner of R. Island 

Packard's Mountain, - 

Peaked Mountain, 

Pepperell, (N. H. State line,) 
Station, - - - - 

Point in the meridian of Tufts'] 
Hill, from which lo calculate the 
Lats. and Lons. of the 2d section, _ 

Rattlesnake Mountain - - i 



Tufts' Hill, 

Wachusett Mountain, - 

Warwick,(N.H.)StatelineStat'nat 

Watatick Mountain, - 

Watatick State line Station at 



Northampton, 

Charlton, 

Douglas, 

New Salem, - 
Monson, 

Pepperell, 



Conn, line at Wil- 
braham, 

New Braintree, 

Princeton, 

Warwick, 

Ashburnham, 



108137.40 
207D30.72 
248037.03 
253073.70 
88570.00 
239370.33 



120229.50 

244508.28 

141219.42 

78408.25 

—6049.87 

2781.15 

—2522.05 



280514.40 

99232.90 

50747.87 

50307.17 

200222.14 

20.3314.70 



133777.43 

221021.50 

1.33770.00 

80546.92 

197200.41 

82288.82 
83858.10 



O / // 

42 14 30. 
42 08 02 
42 01 25 
42 00 29 
42 27 40, 
42 02 51, 



95 72 39 17.08 

4871 57 40.15 

I 
2171 48 23.06 

I 
48 71 48 18.07 

I 

96 72 21 32.14 

06 72 20 47.03 



42 42 13.29 71 35 32.02 



72 05 24.96 



42 01 59.00 

42 19 01.90 
42 29 21.21 
42 43 22.01 
42 41 49.12 
42 42 41.50 



72 24 49.86 

72 05 24.96 

71 53 33.685 

72 19 35.32 
71 53 54.97 
71 54 15.84 



TRIGONOMETRICAL SURVEY. 



25 



SECTION II. 

TABLE 4. 

This Table shows the Southings and Westings from, Pepperell Line Station, it being the 
most northeasterhj station in the section, of secondary objects in the second section, with 
their Latitudes and Longitudes. 



NAMES OF OBJECTS. 



Snulliiiigs 
in leet. 



Westinj^s 
in fe*^!. 



Amherst South Church, 

" College Chapel, - 
" North Church, 
Ashburnham Old Church, on Iiill, - 
Ashby Church, - . . - 
Athol South Church, - 

" North Church, - 
Barre Church, . . - . 
Belchertown Church, - - . 
Boylston Church, . - - 

Brookfield, Bemis' Hill Station, - 

Church, 
Charlton North Church, 
Dudley Church, - - - - 
Grafton Unitarian Church, - 
Granby West Church, 

" East Church, - - 
Groton Church, - - . - 
Hadley, Holyoke House, 

" Church, - - - - 
Hardwick Church, . - - 
Harvard Church, - - - . 

" Baptist Church, 
Holdcii Church, - - - - 

4 



132464.93 

121337.14 

10C995.49 

22087.10 

9531.52 

42G27.78 

40850.81 

10257C.38 

135140.84 

127734.41 

190534.55 

178378.12 

207850.34 

240017.19 

181038.70 

1G2143.36 

1C3071.53 

35575.11 

146800.03 

131426.49 

129108.73 

73357.61 

77381.83 

128758. Go 



Lalilude. 



Longitude. 



247128.31 
251061.54 
254385.22 

889G6.09 

62766.80 
168362.33 
169710.54 
139581.27 
219579.16 

39319.02 
141579.95 
138833.00 
102605.66 

92016.91 

25G28.32 
255697.59 
251053.06 
—5384.53 
270004.85 
272312.34 
164757.38 

—895.05 
7976.64 

73740.97 



42 18 46.83 72 30 34.70 
42 22 15.6l' 72 31 28.49 



42 40 41.91 71 49 a3.62 



42 35 33.29 72 13 25.69 
42 25 23.70 72 06 42.40 
42 16 42.76 72 24 27.15 
42 21 13.21 71 44 26.04 



42 12 54.73 
42 08 03.32 
42 02 45.32 
42 12 25.95 
42 15 31.97 

42 36 21.51 

42 20 44.40 
42 21 01.35 
42 30 08.49 
42 29 29.22 
42 21 04.24 



72 06 32.19 
71 58 30.95 
71 56 11.08 

71 41 26.94 

72 32 27.47 

71 34 22.76 

72 36 11.50 
72 12 27.83 
71 35 25.82 
71 37 24.63 
71 52 04.84 



26 



TRIGONOMETRICAL SURVEY. 

SECTION II. TABLE 4 — Continued. 



NAMES OF OBJECTS. 



Southings 
in feet. 



Westings 
in feet. 



Latitude. 



Longitude. 



Hubbardston Church, - . . - 

Lancaster Church, . . . - 

Leicester Church, - . - . 

Longmeadow West Church, - - - 

" East Church, - 

Ludlow, Putt's Bridge Factory, 

Lunenburg Church, . - - - 

Marlborough Church, - - - 
Millbury Church, (since removed,) 

Montague Church, . . - . 

New Braintree Church, . . - 

New Salem Church, - . - . 

Northbridge Old Church, (pulled down,) 

" New Church, - 

Northfield Church, . . . - 

Oakham Cliurcli, . . - . 
Pelham Old Church, (no spire,) 

Petersham Church, . . - . 

Prescott Church, - - . - . 

Princeton Old Church, (on hill,) - 

Rutland Church, . . . . 

Shirley Church, - . . - . 

Shrewsbury North Church, . - - 

« South Church, - 

Shutesbury Church, . . - - 
South Hadley Church, 

Spencer Church, . . . . 

Springfield Church, . , . - 

" Court House, . . - 

Sunderland Church, . . . . 



835C6.50 

90506.55 
166723.34 
2-38013.40 
233615.63 
199276.44 

39711.54 
130124.65 
188966.45 

61404.63 
141271.04 

74452.78 
207956.11 
207724.44 
4851.86 
127863.08 
113G35.62 

78843.17 
113029.46 

90776.48 
119647.27 

47856.39 
148162.23 
155735.55 

91581.85 
162123.76 
106979.74 
218233.12 
219582.27 

86555.16 



112530.05 

22851.81 

85709.65 

269190.92 

249414.53 

242503.13 

37062.86 

—7893.68 

52870.63 

254576.65 

145165.28 

200515.38 

21891.57 

22101.02 

235297.60 

122388.26 

220179.66 

101459.77 

204217.82 

79103.42 

99228.19 

16824.81 

33655.46 

33073.64 

221633.88 

266681.29 

108067.88 

207076.27 

270877.74 

267567.64 



42 28 31.43 
42 27 20.31 
42 14 49.40 
42 03 01.58 
42 03 46.10 
42 09 25.72 
42 35 42.80 
42 20 47.24 
42 11 08.72 

42 19 01.35 
42 30 00.61 

42 08 02.11 
42 41 27.01 
42 21 13.82 
42 23 32.83 
42 29 18. Q3 
42 23 33.43 
42 27 19.64 
42 22 34.78 
42 34 21.40 
42 25 04.55 

42 27 10.67 
42 15 31.56 
42 14 47.22 

42 06 03.59 
42 27 58.16 



72 00 41.23 
71 40 44.17 

71 54 46.73 

72 34 51.11 
72 30 59.09 
72 29 29.54 
71 43 51.05 
71 33 57.04 

71 47 29.51 

72 07 56.64 
72 20 16.50 

71 40 41.73 

72 28 05.29 
72 02 53.17 
72 23 37.22 
72 11 34.69 
72 21 04.93 
71 53 15.10 
71 57 44.33 
71 38 20.80 

71 43 09.19 

72 24 57.74 
72 34 53.62 

71 59 42.89 

72 35 44.93 
72 35 il.29 



TRIGONOMETRICAL SURVEY. 
SECTION II. TABLE 4 — Contintted. 



27 



NAMES OF OBJECTS. 



Southings 
in feet. 



Woslings 
in feet. 



Latitude. 



Longitude. 



Sutton Church, ... 
Templeton Church, 
Upton Church, - - - 
Uxbridge dark Church, 
Warren Church, - - - 
Wendell Church, (no spire,) 
Westborough New Church, 
Westminster Church, - 
Wilbraham North Church, - 
Winchendon Church, - 
Worcester Unitarian Church, 
" Secondary Station, 

" Antiquarian Hall, 



201914.77 

54141.05 
192947.44 
228100.52 
178949.00 

56084.03 
158912.31 

59136.07 
212411.64 

15424.30 
158101.57 
156998.45 
157777.17 



40310.41 

129600.56 

3342.86 

10544.92 

164501.04 

917973.24 

6992.03 

85886.29 

227996.64 

122236.72 

56932.99 

57365.56 

56247.75 



42 09 01.54 
42 33 22.26 
42 10 27.14 
42 04 40.20 
42 12 48.89 
42 32 55.60 
42 16 03.63 
42 32 32.41 
42 07 16.56 
42 39 44.76 



42 16 17.04 



71 46 02.96 

72 04 29.11 
71 36 31.48 

71 38 09.08 

72 12 13.53 
72 24 10.59 
71 37 17.48 

71 54 44.76 

72 26 17.08 
72 02 50.39 



71 48 13.04 



28 



TRIGONOMETRICAL SURVEY. 



SECTIO]\^ III. AIVD IV, 



TABLE 1. 



The following Table shores the Bearings from one Station to another, in the third and 
fourth sections, on parallels to the meridian of the State Hoitse, xoith the Northings, 
Southings, Eastings or Westings made on each course. 

[The third and fourth sections of the State Map represent that portion of the State that has the greatest distance from north to 
south, and are north and south of each other. Tliey have the same meridian, viz., the State House} and the calculations^ 
as shown in the following Table, are made as if they were one continued section.] 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
in ieet. 


Northings 

or Southings 

in feel. 


Eastings 

or We.siings 

in (ect. 


Alden'sHiU - - - to 


Copecut Station, 


S.W. 


o / // 

36 58 21.00 


49570. 36j 39602.95 


29813.18 




Great Hill, 


S.E. 


54 54 23.04' 7G301.00 438C6.22 

1 1 


62430.71 




Manomet Hill, - - - 


N. E. 


69 53 54.90104158.17 


35797.40 


97813.44 




Mendal's Hill, - 


S. E. 


21 26 14.68 50558.87 


47061.08 


18478.49 




Monk's Hill, - 


N. E. 


52 17 20.97 


78167.87 


47813.48 


61839.21 


Ayer'sHill - - - to 


Brandy Brow Hill, - 


N. E. 


5 02 45.27 


9830.80 


9792.69 


864.66 




Gumpus Hill, - - - 


S.W. 


70 21 56.68 


87064.26 


29254.87 


82002.06 




Poplar Hill, 


S.W. 


64 01 37.89 


59287.55 


25964.07 


53299.62 




Powow Hill, - - . 


N. E. 


55 51 01.11 


38603.61 


21670.40 


31947.34 




Rail-cut Hill, - 


S. E. 


59 33 35.55 


127409.73 


64550.57 


109847.43 




State line boundary, - 


S.W. 


88 33 32.50 


1930.20 48.54 


1929.70 


Beacon Pole Hill - to 


Bald Hill, - - - - 


N. W. 


76 52 57.00 


73705.55 16727.40 


71782.35 




BumsketHill, - - - 


N. W. 


47 49 10.52 


164378.34 


110374.60 


121810.00 




College Hill, - 


S. E. 


11 29 35.01 


60414.14 


59202.77 


12037.47 




Fall River Station, - 


S. E. 


37 30 04.03 


133469.06 


105886.53 


81252.87 




Fay's Mountain, 


N. W. 


29 23 05.. 53 


100277.62 


87376.22 


49203.58 




Great Meadow Hill, - 


S. E. 


54 15 39.71 


76256.25 


44540.76 


61896.16 




Great Rock Hill, 


S. E. 


39 28 56.13 


67195.75 


51863.14 


42725.70 




Joe's Rock Hill, 


N.E. 


45 00 55.42 


15644.48 


11059.34 


11005.29 




Red Brush Hill, 


N. E. 


61 28 34.93 


22363.02 


10678.10 


19647.29 


Blue HUl - - - - to 


Alden'sHill, - 


S. E. 


17 45 33.61 


146156.67 


139190.74 


44580.63 




Bald HiU, . - - - 


S.W. 


69 38 24.48 


172481,56 


60009.00 


161705.90 



TRIGONOMETRICAL SURVEY. 29 

SECTIONS III. AND IV. TABLE 1— Continued. 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
in feel. 


Norlhings 

or Southings 

ill leet. 


Eastings 

or Westings 

in feet. 








o 1 II 1 






Blue Hill - - - . to 


Beacon Pole Hill, 


s.w. 


49 31 25. 11118215.65 

j 


76737.82 


89923.56 




Boston Light, - - - 


N.E. 


55 06 50.00 


73882.82 


42257.05 


60005.37 




BumsketHill, - 


N. W. 


80 58 21.20214386.64 


33638.88 


211731.10 




CodJon's Hill, - 


N.E. 


32 17 09.72131242.45 


1 10951. a3 


70102.66 




Copecut Station, 


S. E. 


4 43 08.37179401.21 


178793.04 


14759.13 




Dorchester Height, - 


N.E. 


22 46 14.86 


47741.05 


44020.14 


18477.96 




Eastern Point Light, - 


N.E. 


42 02 19.00180979.21 


134412.13 


121189.33 




Fall River Station, - 


S.W. 


2 43 04.00182831.50 

1 


182625.88 


8669.21 




Fay's Mountain, 


N. W. 


85 37 39.02139535.35 

1 


100.38.23 


139129.23 




Great Meadow Hill, - 


S.W. 


13 00 43.75124476.11 


121279.87 


28026.75 




Great Rock Hill, 


S.W. 


20 09 10.54136989.70 


128602.71 


47196.65 




Holt's Hill, 


N.E. 


00 47 51.93156336.18 


156321.04 


2176.08 




Joe's Rock Hill, 


S.W. 


50 12 37.05102630.26 


63080.40 


78860.94 




Long Island Light, - 


N.E. 


44 50 01.00 


60009.53 


42981.70 


42732.77 




Manomet Hill, - - - 


S.E. 


54 00 59.29 


175973.73 


103393.86 


142395.43 




Monks' Hill, - 


S.E. 


49 20 50.48 


140266.06 


91379.34 


106416.10 




Prospect Hill, Hingham, - 


S.E. 


84 19 35.00 


70008.50 


6921.15 


69665.62 




Rail-cut Hill, - 


N.E. 


39 29 10.57 


196972.23 


152018.56 


125253.61 




Red Brush Hill, 


S.W. 


46 46 16.27 


96455.47 


66063.65 


70279.78 




Scituate Hill, - 


N.E. 


83 06 27.45 


77401.22 


9288.51 


76841.85 




Sprague's Hill, - - - 


s.'e. 


28 01 13.64 


85496.88 


75474.93 


40165.31 




Thatcher's Island, N. Light, 


N.E. 


42 56 41.00 


213124.54 


156009.61 


145200.17 




" S. Light, 


N.E. 


43 05 41.00212474.52 


155154.25 


145164.00 




Wachusett Mountain, 


N. W. 


63 54 36.58 


231935.32 


102000.26 


208302.40 


Bourne's Hill - - to 


German Hill, . - - 


S. E. 


78 53 32.50 


77076.34 


14848.98 


75632.47 




Highland Light, 


N.E. 


45 33 16.50 


160848.00 


112630.51 


114832.24 




Hyannis Station, 


S. E. 


53 12 28.00 


61463.00 


36811.14 


49220.40 




Pine Hill, - - - - 


S.W. 


67 00 00.00 


23599.35 


9213.16 


21704.90 


Castle Hill - - - to 


Blue Hill, - - - - 


S.W. 


10 35 08.23 


102546.21 


100801.02 


18838.21 




Holt's Hill, - - - 


N. W. 


16 42 20.13 


57965.58 


55519.11 


16662.44 



30 TRIGONOMETRICAL SURVEY. 

SECTIONS III. AND IV. TABLE 1 — Continued. 



NAMES OF STATIONS. 


Diroc- 
lions. 


Bearings, 


Dislances 
in feet. 


Northings 

or Southings 

in feet. 


Easting's 

or Westings 

in feet. 


Castle Hill - - - to 


Nahant Station, - - - 


/ // 

S. E. .56 24 45.34 


40078.92 


22172.00 


33387.45 




Prospect Hill, Hingham, - 


S. E. 25 15 33.55 


119110.74 


107722.07 


50826.45 




« " Waltham, - 


S.W. 


57 10 18.72 


67253.76 


36459.67 


56513.37 




Scituate Hill, - 


S. E. 


32 22 06.84 


108345.57 


91511.04 


58004.23 


Chatham Station - - to 


Monomoy Light, 


S.W. 


3 49 03.00 


50327.91 


50216.24 


3350.76 




Nantucket south-towered Ch. 


S.W. 


11 31 28.00 


154693.32 


151574.03 


30905.55 


College Hill - - - to 


Bullock's Neck, 


S. E. 


17 42 55.00 


35802.24 


34104.51 


10894.16 




King's Rock, - - - 


S. E. 


49 19 41.00 


46146.00 


30074.62 


34999.61 




Mount Hope, - - - 


S. E. 


35 51 50.00 


74007.83 


59976.77 


43358.35 




North end of Verificat'n base, 


N. E. 


26 01 26.00 


27784.57 


24967.52 


12190.36 




Pocasset Ilill, - . - 


S. E. 


39 46 37.49 


88360.32 


67908.40 


56533.14 




Rhode Island Station, 


S. E. 


23 50 08.00 


101325.19 


93383.56 


39323.05 




South end of Verificat'n base, 


S. E. 


86 51 41.00 


11516.21 


630.53 


11498.94 


Copecut Station - - to 


College Hill, - 


N. W. 


65 10 36.00 


102076.63 42854.00 


92645.42 




Dartmouth Station, - 


S. E. 


8 32 44.50 


55840.91 55220.95 


8297.85 




Great Hill, 


S. E. 


87 21 13.43 


92342.00 


4263.40 


92243.52 




Mendal's Hill, - - - 


S. E. 


81 13 14.31 


48863.69 


7458.05 


48291.17 




Mount Hope, . - - 


S. W. 


70 50 36.63 


52177.64 


17122.06 


49288.35 




New Bedford Court House, 


S. E. 


48 00 00.00 


47380.10 


31703.47 


35210.44 




Pocasset Hill, . - - 


S.W. 


55 14 45.75 


43952.51 


25055.23 


36111.72 




Rhode Island Station, 


S.W. 


46 32 20.00 


73461.93 


50531.67 


53321.70 


Cutty hunk Station - to 


Clarke's Point Light, - 


N. E. 


8 06 02.00 


63333.67 


62701.76 


2924.40 




Cuttyhunk Light, 


S.W. 


62 26 24.00 


4941.03 


2286.10 


4380.. 36 




Gay Head Light, 


S. E. 


45 44 35.00 


37676.14 


26293.33 


26984.31 




Naushawn Station, - 


N. E. 


64 06 22.00 


58269.23 


25446.51 


52419.26 




No-man's Land Station, 


S. E. 


28 33 59.00 


69421.33 


60970.24 


33195.66 




NootasHill, 


N. W. 


50 52 55.00 


67055.11 


42306.44 


52024.56 


Dartmouth Station - to 


Clarke's Point Light, - 


N. E. 


76 34 38.00 


36207.91 


8405.11 


35218.84 




Cuttyhunk Light, 


S. E. 


21 10 16.00 


60675.00 


56579.79 


21913.05 




" Station, 


S. E. 


25 50 25.00 


60329.43 


54297.25 


26295.42 



TRIGONOMETRICAL SURVEY. 
SECTIONS III. AND IV. TABLE 1 — Contintted. 



31 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
in feel. 


Northings 

or Southings 

in feet. 


Eastings 

or Westings 

in feet. 








oil! 






Fall River Station - to 


Bullock's Neck Station, - 


N. W. 


77 49 30.55 


59663.53 12582.78 


58321.63 




College Hill, - 


N. W. 


55 59 59.17 


83489.52 


46686.70 


69215.76 




Copecut Station, 


N. E. 


80 42 17.19 


23743.14 


3835.03 


23431.37 




King's Rock, - - - 


N. W. 


64 05 56.89 


3S03S.0l' 10615.00 


34217.14 




Mount Hope, - . - 


S.W. 


02 48 22.34 


29074.77, 13286.97 

1 


25860.54 




Munroe's Signal, 


N. W. 


63 02 08.21 


52684.55 23889.10 


46957.10 




Pocasset Hill, - 


S.W. 


30 51 56.92 


24721.87 


21220.54 


12083.04 




Rhode Island Station, 


S.W. 


32 37 39.75 


55444.40 


46694.82 


29894.41 




Toweset Neck Signal, 


N. W. 


88 23 50.89 


22058.00 


610.87 


22049.44 


Falmouth Station - to 


Bird Island Light, 


N. W.46 37 52.00 

1 


37624.18 


25836.25 


27350.81 




Clarke's Point Light, - 


S.W. 


88 23 09.00 


77398.82 


2180.23 


77368.10 




Cuttyhunk Station, 


S.W. 


53 03 42.00 


107905.92 


64882.70 


86295.34 




Gay Head Light, 


S.W. 


33 02 41.00 


108768.38 


91174.56 


59310.70 




Indian Hill, ... 


S.W. 


14 39 44.00 


63515.90 


61447.50 


16077.10 




Naushawn Station, 


S.W. 


40 39 51.00 


51989.77 


39436.42 


33877.80 




Pine Hill, - - . - 


N.E. 


19 05 02.00 


42706.20 


40359.10 


13962.88 




Prospect Hill, Chilmark, - 


S.W. 


22 27 57.00 


91756.34 


84791.72 


35063.56 




Round Hill Light, 


S.W. 


75 07 12.00 


85931.22 


22066.75 


83049.60 




West Chop Light, - 


S. E. 


5 56 53.00 


42252.00 


42024.54 


4378.44 


German Hill - - - to 


Chatham Station, 


N.E. 


87 15 07.00 


62826.73 


3012.18 


62754.47 




Monomoy Light, 


S. E. 51 31 43.00 


75875.49 


47203.94 


59404.35 


Great Hill ... to 


Cuttyhunk Station, - 


S. W. 28 42 30.00 


120005.47 


105253.95 


57644.75 




Falmouth Station, 


S.E. 


35 21 40.00 


49503.45 


40.371.08 


28649.00 




Indian Hill, - - . 


S. E. 


7 02 26 50 


102593.64 


101820.00 


12575.34 




Pine Hill, - - . - 


S. E. 


89 59 08.00 


42011.62 


10.74 


42011.62 


Great Meadow Hill - to 


College Hill, - 


S. W. 73 36 30.31 

1 


51968.70 


14064.17 


49836.88 




Copecut Station, 


S. E. 30 38 49.27 


71687.73 


57517.08 


42789.24 




Fall River Station, - 


S. E. 


17 30 51.54 


64334.30 


61351.88 


19301 03 




Great Rock Hill, 


S.W. 


69 05 43.33 


20519.54 


7321.65 


19108.85 




King's Rock, ... 


S.W. 


18 22 12.65 


47138.30 


44736.14 


14855.88 



32 TRIGONOMETRICAL SURVEY. 

SECTIONS III. AND IV. TABLE 1 — Continued. 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
in feet. 


Norlliings 

or Soutiiings 

in feet. 


Eastings 

or Westings 

in feet. 


Great Meadow Hill - to 


Mount Hope, - - - 


S.W. 


o / // 

4 58 31.24 


74923.00 


74640.72 


6497.85 




Pocasset Hill, - 


S. E. 


4 37 24.. 52 


82842.06 


82572. 50 


6677.68 




Rhode Island Station, 


S.W. 


5 34 02.12 


108560.90 


108048.80 


10531.94 


Great Rock Hill - - to 


College Hill, - 


S.W. 


7G 32 50.00 


31553.20 


7340.65 


30087.44 




Copecut Station, 


S. E. 


50 59 13.97 


79739.84 


50195. 7 J 


61958.29 




Fall River Station, - 


S. E. 


35 29 37.34 


66359.25 


54028.33 


38529.07 




King's Rock, - . - 


S. E. 


G 34 32.00 


37662.76 


37415.01 


4312.89 




Mount Hope, - . - 


S. E. 


10 39 29.00 


68498.90 


67317.20 


12668.68 




North end of Verificat'n base, 


N. W. 


46 22 45.00 


25550.96 


17627.16 


18496.88 




Rhode Island Station, 


S. E. 


4 54 02.61 


101094.42 


100724.86 


8636.46 




South end of Verificat'n base. 


S.W. 


67 26 36.00 


20780.05 


7970.96 


19190.42 


GUmpus Hill - - - to 


Lowell Church, . - - 


S. E. 


22 18 23.51 


31208.70 


28873.24 


11845.62 




Marsh and Jones's Station, - 


S. E. 


72 38 28.51 


16827.77 


5020.63 


16061.36 




Old Pine Tree Boundary in ) 
Slate Line, - - > 


S. E. 


45 54 04.43 


14981.00 


10425.02 


10758.67 


Holt's Hill - - - to 


Ayers' Hill, . . . 


N. E. 


12 22 50.00 


61G87.00 


00252.44 


13225.93 




Baker's Island tall Light, - 


S. E. 


66 15 16.00 


94340.02 


37988.43 


80353.46 




Brandy Brow Hill, 


N. E. 


11 22 28.41 


71449.00 


70045.02 


14091.31 




Coddon'sHill, - 


S. E. 


56 15 32.98 


81681.84 


45369.12 


67923.22 




Gumpus Hill, - - - 


N. W. 


65 44 23.25 


75439.69 


30996.76 


687V7.52 




Lowell Churcli, - - - 


N. W. 


87 51 50.13 


56971.53 


2123.49 


50931.95 




Poplar Hill, 


N. W. 


49 26 52.54 


52739.92 


34288.28 


40072.61 




Powow Hill, - - . 


N. E. 


28 52 22.00 


93552.44 


81923.34 


45173.34 




Prospect Hill, Hingham, - 


S. E. 


22 27 43.41 


176643.65 


103242.19 


67490.51 




" " Rowley, 


N. E. 


67 51 57.64 02214.00 


23440.60 


57629.13 




Rail-cut Hill, - 


S. E. 


87 59 55.78123149.54 


4.300.37 


123074.45 




Wachusett Mountain, 


S.W. 


75 31 41.96217375.85 


54322.54 


210478.82 




Watatick Mountain, - 


N. W. 


84 13 22.48 212384.20 


21378.26 


211305.49 


Hyannis Station - - to 


Chatham Station, 


N. E. 


74 21 09.50 


92597.10 


24974.92 


891C5.42 




Falmouth Station, 


S.W. 


81 27 01.00 


85844.56 


12762.31 


84890.60 




German Hill, - - - 


N. E. 


50 15 19.00 


34350.69 


21962.73 


26412.27 



TRIGONOMETRICAL SURVEY. 
SECTIONS III. AND IV. TABLE 1 — Continued. 



33 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
in feet. 


Norlhings 

or Southings 

in feet. 


Eastings 

or We^iliiigs 

iji feet. 








/ // 








Ilyannia Station - to 


Holmes' Hole Windmill, - 


S.W. 


51 14 32.00 


104137.60 


65193.20 


81206.46 




Indian Hill, ... 


S. W. 


.53 41 06.00 


125303.55 


74207.82 


100966.30 




Monomoy Light, 


S. E. 


73 3G 36.00 


89453.60 


25241.48 


85818.50 




Nantucket south-towered Ch. 


S. E. 


24 42 46.00 


139362.60 


126599.03 


58263.27 




Pine Hill, .... 


N. W. 


68 44 17.00 


76104.90 


27598.10 


70924.62 




Sampson's Hill, ... 


S.W. 


27 13 32.00 


104199.70 


92055.64 


47670.80 




Succonnesset Station, 


S.W. 


59 53 56.00 


52889.29 


26525.43 


45750.72 


Indian Hill - - - to 


Bird Island Light, 


N. W. 


7 21 37.00 


88007.64 


87282.50 


11274.49 




Clark's Point Light, - 


N. W. 


45 57 51.00 


85257.74 


59203.35 


61292.14 




Cuttyhunk Light, 


S.W. 


85 36 49.00 


74823.00 


5722.62 


74603.85 




" Station, - 


S.W. 


87 11 57.00 


70304.87 


3435.40 


70220.88 




Gay Head Light, 


S.W. 


.55 29 24.00 


52471.07 


29727.50 


43237.60 




Knobskey Light, 


N. E. 


10 46 04.00 


32018.17 


31454.42 


5981.92 




Naushawn Station, 


N. W. 


38 57 55.00 


28308.13 


22010.40 


17801.59 




Prospect Hill, Chilmark, - 


S.W. 


39 07 07.00 


30091.56 


23346.29 


18985.61 




Round Hill Light, 


N. W. 


59 32 49.00 


77G93.60 


39377.62 


66975.36 




Tarpaulin Cove Light, 


N. W. 


57 09 05.00 


26178.04 


14199.52 


21992.35 




West Chop Light, - 


N. E. 


46 28 57.00 


28208.91 


19423.98 


20456.09 


Joe's Rock Hill - to 


Burnt Swamp Signal, 


S. E. 


.53 52 48.26 


7704.60 


4541.68 


6223.65 




College Hill, - 


S. E. 


00 47 44.30 


70269.92 


70203.15 


975.77 




Fall River Station, - 


S. E. 


30 58 20.17136393.09 


116940.19 


70191.35 




Great Meadow Hill, - 


S. E. 


42 26 08.59 75334.27 


55599.33 


50832.76 




Great Rock Hill, 


S. E. 


26 42 41.88 70439.18 


62921.93 


31602.44 




Red Brush Hill, 


S. E. 


87 27 33.00 8591.87 


380.89 


8583.42 




Sprague's Hill, . - - 


S. E. 


85 17 48.24119426.38 


9792.41 


119024.25 


Manomet Hill - - to 


Bourne's Hill, ... 


S. E. 


22 19 24.00 76168.27 


70458.23 


28931.22 




German Hill, ... 


S. E. 


50 47 24.00134949.31 

1 


85310.20 


104560.94 




Gurnet Light, ... 


N. W. 


5 57 19.00 27810.36 


27660.27 


2885.38 




Highland Light, 


N.E. 


73 39 02.00149821.00 


42173.86 


143762.70 




Pine Hill, .... 


S. E. 


5 10 58.00 


79998.95 


79671.86 


7226.56 



34 TRIGONOMETRICAL SURVEY. 

SECTIONS III. AND IV. TABLE 1 — Continued. 



NAMES OF STATIONS. 


Dlrec- 

lioiis. 


Bearings. 


Distances 
in feel. 


Norlhiiis;s 

or Souiliiiigs 

in Icel. 


Eastings 

or \\'estmgs 

in lee I. 


Manomet Hill - - lo 


Plymouth Court House, 


N. W. 


o / // 

62 32 22.00 


• 


10794.44 


20770.82 




Telegraph Hill, - 


N. W. 


23 09 58.00 


741G0.09 


68180.40 


29174.43 


Marsh & Jones' } 
Station, (, 


Lowell Church, - - - 


S.W. 


10 01 22.85 


24222.30 


23852.61 


4215.74 




01(1 Pine Tree Boundary in ? 
Slate Line, - - S 


S.W. 


44 27 20.97 


7571.40 


5404.39 


5302.70 


Mendal's Hill - - to 


Falmouth Station, 


S. E. 


C2 53 09.00 


815G6.20 


37175.03 


72602.10 




Great Hill, 


N. E. 


85 50 32.00 


440G7.85 


3195.0G 


43951.87 




Indian Hill, 


S. E. 


29 49 08.30 


1I3G75.97 


98G25.40 


56520.65 




Manomet Hill, - - - 


N. E. 


43 45 21.50 


114715.74 


82858.22 


79336.07 




New Bedford Court House, 


S.W. 


28 20 52.00 


27548.33 


24244.78 


13080.56 




Pine Hill, - - - - 


N. E. 


87 53 30.42 


86G21.32 


318G.89 


80562.70 


Monk's Hill - - to 


Great Hill, 


S. E. 


00 22 12.00 


91G82.0C 


91G80.14 


592.05 




Gurnet Light, - - - 


N. E. 


C4 41 51.00 


3GG00.40 


15G42.9] 


33089.10 




High Land Light, 


N. E. 


80 28 30.00 


182248.08 


30158.03 


179735.40 




Manomet Hill, - - - 


S. E. 


71 31 37.50 


37928. 8(i 


12018.00 


35974.52 




Mendal's Hill, - 


S.W. 


24 33 40.00104313.80 

1 


94875.30 


43359.44 




Pine Hill, - - - - 


S. E. 


25 13 43.00101358.00 

1 


91689.90 


43201.92 




Plymouth Court House, 


S. E. 


85 24 00.00 


. 


1223.20 


15202.76 




Telegraph Hill, - 


N. E. 


6 54 13.00 


5G572.G3 


5G1G2.45 


6800.00 


Monomoy Light - to 


Nantucket south-towered Ch. 


S.W. 


15 12 43.00 


10503G.7? 


101350.44 


27560.63 


Mount Hope - - to 


Toweset Neck, - - . 


N. E. 


15 19 38.00 1441G.G3 


13903.89 


3810.77 


Nahant Station - to 


Baker's Island tall Light, - 


N. E. 


42 20 19.33 


53795.54 


39701.10 


36301.30 




Blue Hill, - - - - 


S.W. 


33 35 31.09 


94390.32 


78G27.04 


52223.80 




Boston Light, - - - 


S. E. 


12 58 32.00 


37321.10 


36368.14 


8379.91 




Coddon's Hill, - 


N. E. 


28 5G 48. CO 


3G937.03 


32.322. 4C 


17877.44 




Dorchester Height, - 


S.W. 


44 IG 41.31 


48337.53 


31607.72 


33746.47 




Eastern Point Light, - 


N. E. 


51 01 52.50 


88702.00 


55784.34 


68964.82 




Long Island Light, 


S.W. 


14 54 39.88 


3G891.90 


35649.62 


9493.00 




Prospect Hill, Hingham, - 


S. E. 


11 31 20.52 


87309.00 


85549.46 


17440.01 




Scituate Hill, - 


S. E. 


19 32 45.12 


73578.88 


69338.83 


24G16.65 



TRIGONOMETRICAL SURVEY. 
SECTIONS III. AND IV. TABLE 1 — Continued. 



35 



NAMES OF STATIONS. 



Nahant Station - to 
New P.edford Court 



House 



to 



Nootas' Hill 



Pocasset Hill 



Poplar Hill 



Powow Hill 



- to 



- to 



to 



to 



Scituate Light, - 

Clark's Point Light, - 

Cuttyhunk Light, 

" Station, - 

Dartmouth Station, - 
Falmoulli Station, 
Gay Head Light, 
Indian Hill, 
Knobskey Light, 
Naushawn Island Station, 
Pine Hill, - 

Prospect Hill, Chilmark, 
Round Hill Light, 
West Chop Light, 
Dartmouth Station, 
Joe Sandford Signal, - 
Quicksand Pond Station, 
Bullock's Neck Station, 
Mount Hope, 
Munroe's Signal, 
Nootas' Hill, - 
Gumpus Hill, 
Powow Hill, 
State Line Boundary, 
Annisquam Light, 
Brandy Brow Hill, 
Newburyport Light, - 
Rail-cut Hill, - 
Salisbury Marsh Station, 



Direc- 
tions. 



S. E. 

S. E. 

S. W. 
S.W. 

s.w. 

S. E. 
S. E. 
S. E. 
S. E. 
S. E. 
N. E. 
S. E. 
S. E. 
S. E. 
N. E. 
N. W 
S. E. 



Bearinsrs. 



34 28 
28 47 

3 34 
00 27 
48 51 
81 25 
14 12 

43 06 
GO 24 

44 41 
74 36 
27 23 

4 17 
58 36 
C5 00 

6 10 
4 26 



31.18 

48.00 



N. W.'53 28 
N. W..-8 56 
N. W.37 13 



S. E. 
S.W. 
N. E. 
N. E. 
S. E. 
S.W. 
S. E. 
S. E. 
N. E. 



23 53 
83 27 
CO 48 
14 05 
43 00 
(JO 05 
58 00 
42 05 
85 54 



13.50 
16.00 
04.00 
03.62 
43.00 
01.00 
28.00 
19.00 
36.00 
00.00 
46.00 
29.00 
47.00 
21.00 
26.00 
30.00 
51.50 
35.50 
56.50 
43.62 
15.14 
24.13 



Distances 
ill feet. 



98392.42 
17243.85 



80254.82 

77815.82 

35739.9,1 

86647.92 

107391.10 

101867.19 

86921.58 

73658.09 

103349.43 

110053.63 

35091.20 

105499.48 

28336.96 

20815.34 

13338.25 

56792.90 

15380.24 

56653.54 

46107.75 

28893.30 

97653.30 

556.27 

16.18101.3Q7.65 

I 
12.68 33275.43 

26. 3g! 39619.55 

I 
50.58116200.91 



48.61 



31654.87 



Northings 

or Soulliings 

ill feet. 



Eastings 

or Westings 

in feet. 



81111.74 

15111.38 

80099.06 
77813.35 
23517.50 
12930.51 
104104.31 
74379.23 
42923.94 
.52366.42 
27427.70 
97722.04 
34992.58 
54953.00; 
11990.99 
20694.02 
13298.21 
33801.64 

! 

79a3.45 
45110.38 
42154.51 

3289.79 
47634.85 
539.60 
74100.93 
11877.71 
20990.87 
86221.82 

2255.80 






55695.16 
8306.48 

4997.88 
617.20 
26912.23 
85677.60 
26365.54 
69603.53 
75583.70 
51800.30 
99643.52 
50618.24 

2628.72 
90056.90 
25730.00 

2238.11 

1032.71 
45638.62 
13176.19 
34273.57 
18679.41 
28705.52 
85247.24 
135.44 
69111.12 
31083.33 
33601.98 
77900.24 
31574.40 



36 TRIGONOMETRICAL SURVEY. 

SECTIONS III. AND IV. TABLE 1 — Continited, 



NAMES OF STATIONS. 


Dlrec- 

lions. 


Bearings. 


Distances 
in feet. 


Norlliings 

or Southings 

in feet. 


Eastings 

or Westings 

in feet. 








/ w 








Prospect Hill, in ? 
Chilmark,- - -$ 


Clark's Point Light, - 


N. W. 


27 07 02.00 


92813.00 


82610.60 


42305.32 




Cuttyhunk Light, 


N. W. 


72 24 50.00 


58343.14 


17627.73 


55016.41 




" Station, - 


N. W. 


G8 45 45.00 


54969.10 


19911.71 


51236.00 




Gay Head Light, 


s.w. 


75 15 38.00 


25077.66 


6380.35 


24252.42 




Knobskey Light, 


N. E. 


24 29 42.00 


60217.. 30 


54797.60 


24966.92 




Nausbawa Station, 


N. E. 


1 29 43.00 


45372.88 


45357.44 


1183.98 




No-man's land Station, 


S.W. 


23 43 12.00 


44847.30 


41058.70 


18040.00 




Round Hill Light, 


N. W. 


37 24 59.00 


78979.44 


62728.70 


47988.13 




Tarpaulin Cove Light, 


N. W. 


4 34 49. CO 


37065.50 


37545.22 


3007.81 


Prospect Hill, in ? ^^ 
Hinghara, - - - $ 


Baker's Island tall Light, - 


N. E. 


8 33 50.00120664,58 


125252.34 


18861.90 




Long Island Light, - » 


N. W. 


28 21 16.67 


56707.55 


49904.07 


20932.07 




Manomet Hill, - - - 


S. E. 


37 00 34.20120817.20 


96476.84 


72725.60 




Monk's Hill, - 


S. E. 


23 30 52.55 


92108.54 


84459.74 


36749.72 




Scituate Hill, - 


N. E. 


23 52 56.80 


17729.14 


16211.11 


7177.85 


Prospect Hill, in ? , 
Rowley, - - - T" 


Ayers'Hill, 


N. W. 


50 20 24.72 


57670.47 


36810.72 


44402.08 




Newburyport Light, - 


N. E. 


29 25 33.00 


43043.80 


37490.83 


21147.27 




Powow Hill, - . - 


N. E. 


12 01 21.70 


59792.65 


58481.13 


12454.70 




Rail-cut Hill, - 


S. E. 


67 01 51.78 


71082.15 


27738.54 


65446.49 




Salisbury Marsh Station, - 


N. E. 


17 28 26.25 


03675.94 


60737.53 


19120.12 




Squam Light, . . - 


S. E. 


74 35 12.61 


58770.05 


15019.77 


56656.35 


Prospect Hill, in } . 
Waltham, - - -y 


Blue Hill, - - - - 


S. E. 


30 21 06.36 


74562.42 


64342.83 


37676.93 




BumsketHill, - 


S.W. 


79 59 38.07 


176745.08 


30709.97 


174056.68 




Fay's Mountain, 


s.w. 


62 06 12.94 


114793.11 


53708.74 


101453,56 




Holt's Hill, 


N. E. 


23 25 32.42 


100239.71 


91977.64 


39851.22 




Nahant Station, - - - 


N. E. 


80 58 19.40 


91028.42 


14283. &3 


89900.74 




Scituate Hill, - 


S. E. 


64 19 29.15 


127066.71 


55054.14 


114520.70 




Wachusett Mountain, 


N. W. 


77 33 21.52 


174735.40 


37052.97 


170030.36 




Watatick Mountain, - 


N. W. 


56 31 50.46 


205541.00 


113354.37 


171459.20 


Quicksand Pond ? to 
Station - - - ) 


Rock Boundary in Rhode > 
Island State Line, - J 


s.w. 


43 49 16.00 




317.26 


304.40 



TRIGONOMETRICAL SURVEY. 37 

SECTIONS III. AND IV. TABLE 1— Continued. 



NAMES OF STATIONS. 



Rail-cut Hill 



to 



Red Brush Hill 



- to 



Rhode Island Station to 



Salisbury Marsh ) 
Station - - - S 

Sampson's Hill 



Scituate Hill - - to 



South end of Veri- 
fication base - 

Sprague's Hill 



:S» 



to 



Eastern Point Light, - 
Newburyport Light, - 
Prospect Hill, Hingham, - 
Salisbury Marsh Station, - 
Thatcher's Island N. Light, 
" " S. Light, 

Burnt Swamp Signal, 
College Hill, - 
Sprague's Hill, - 
Bullock's Neck, 
Joe Sandford Signal, - 
Mount Hope, 

Munroc's State Line Station, 
Nootas'Hill, - 
Pocasset Hill, - - - 
Quicksand Pond Station, - 

Newburyport Light, - 

Falmouth Station, 
Indian Hill, - - . 
Nantucket south-towered Ch 
Prospect Hill, Chilmark, - 
Succonnesset Station, 
Boston Light, . - - 
Long Island Light, 
Scituate Light, - - - 
Telegraph Hill, - 

North end of Verificat'n base, 

Alden's Hill, - 
Great Meadow Hill, - 



Direc- 
tions. 



Bearinors. 



Distances 
iu feet. 



a t II 

S.W. 13 00 15.43 18073.95 

I 
N. W.34 10 52. G9 78849.24 

I I 
S.W. 19 16 30.75 1G8381. 31 

N. W.27 38 11.44 99870.25 

N. E. !78 40 55.93 20341,94 

I 

N. E. 81 02 48.27i 20155.78 
S.W. 29 33 32.92 4783.31 

S.W.I 6 12 34.78 70294.68 

I I 

S. E. 85 07 46.57110843.13 

N. W.25 37 19.50 65741.58 



Northings 

or Southings 

in feet. 



Eastings 

or Westings 

in feet. 



17610.42 4067.07 

65229.13 44398.56 

156942.25 55583.68 



88475.86 
3992.12 
3136.82 
4160.75 

69882.26 



4C325.88 

19946.36 

19910.20 

23.59.71 

76C3.56 



I 
N. E. 83 11 38.00 33890. G8 

N. E. 6 53 08.00 33652.81 

N. W.13 35 21.00 72619.03 

S. E. 65 04 33.00 39575.34 

N. E. 34 02 26.00 30745.25 



9410.82 110442.93 

i 
59276.94' 28428.85 

4016.38; 3.3651.85 

33410.07 4034.52 

70586.42' 17062.53 



16677.77 
25476.20 



S. E. 

N. W. 
N. W. 
S. E. 



S. E. 50 55 38.00 47558.52 29976.47 



4 59 05. 8G 

24 58 26.00 
70 54 20.00 
72 14 06.00 



S.W. 86 07 27.00 

1 39 28.00 

26 13 05.57 

45 21 22.155 

S. E. 69 15 22.38 

S. E. 



N 


E. 


N. 


W. 


N. 


W. 



N. E. 

S. E. 
S.W. 



39 15 16.31 

1 32 58.00 

3 57 37.94 
56 06 36.69 



23336.06 23247.80 

88140.40 79899.30 

56398.371 18449.40 

111241.26 33941.22 

72445.45 4896.91 

66157.36 66129.66 

36747.58: 32906.83 

47942.64 33689.05 

33234.74 11771.40 

57489.95 44516.93 



39009.73 

63808.54 
82144.86 



25598.00 

63716.01 
45803.75 



35889.53 
17210.56 
36921.87 

2027.73 

37213.33 
53295.36 
105936.80 
72279.77 
1913.91 
16234.75 
34110.71 
31080.26 
36377.72 

092.41 

4411.36 
68189.38 



38 TRIGONOMETRICAL SURVEY. 

SECTIONS III. AND IV. TABLE 1— Continued. 



NAJIES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
in leel. 


Northings 

or Souihings 

in feet. 


Eastings 

or Westings 

in feet. 


Sprague's Ilill - - to 


Manomet Hill, . - - 


S. E. 


/ // 

74 43 28.55 


105909.32 


27918.57 


102223.50 




Monk's Hill, - 


S. E. 


7C 30 08.25 


68132.92 


15902.67 


66251.05 




Prospect Hill, Hingham, - 


N. E. 


23 16 57.29 


74633.52 


08555.80 


29300.11 


Slate House - - - to 


Blue Hill, - - - - 


S.W. 


14 24 21.19 


54956.13 


53228.18 


13672.50 




" " Bleridian Mark, 


S.W. 


14 45 36.00 


55043.32 


53227.00 


14023.43 




Bond's House Cupola, } 
Cauibrirlge, - ^ 


N. W. 


G9 11 46.00 


14922.40 


5300.00 


13949.47 




" Sonth Merid. Mark, ? 
Dorchester, - ^ 


S.W. 


3 11 13.C0 


15187.28 


15163.78 


814.37 




" Transit, Dorchester, 


S.W. 


3 34 39.35 


13329.00 


13502.04 


844.21 




Castle Hill, 


N. E. 


6 11 40.26 


47852.35 


47572,65 


5163.44 




Dorchester Height, - 


S. E. 


27 33 49.90 


10380.54 


9207.62 


4800.24 




Hollis Street Church, Boston, 


S.W. 


2 56 36.00 


3058.53 


3055.85 


137.12 




Nahant Station, - 


N. E. 


.'56 37 17.50 


46167.33 


25399.75 


38552.24 




Prospect Hill, Waltham, - 


N. W. 


77 47 13.25 


52538.67 


11114.36 


51349.61 




Scituate Hill, - 


S. E. 


55 10 41.90 


76947.59 


43938.95 


63168.81 


Succonnesset Station to 


Holmes' Hole, Wind Mill, - 


S.W. 


42 30 50.00 


52458.40 


38607.76 


33449.80 


Telegraph Hill - - to 


High Land Light, 


S. E. 


81 26 54.50 


174880.00 


26004.44 


172933.70 




Plymouth Court House, 


S. E. 


8 19 50.00 


• 


57383.93 


8402.96 



For the purpose of locating secondary objects, it became necessary to introduce several new stations into 
the survey. This was done by measuring two angles only of the triangle in some cases, and by the three- 
point problem (so called) in others. It is not to be supposed that they are so accurately located as they would 
have been, had they been connected with the work earlier. 

The following Table shows from what stations the new stations were located. Being in the third and fourth 
sections, they are a continuation of bearings, &c. on parallels to the meridian of the State House. 



Ayers' Hill - 


- - to 


Bald Pate Hill, - 


- 


1 
S. E. 17 30 48.00 


1 
37606.46 33920.50 


11334.88 






Harris St. Ch., Nen 


buryport, 


N. E. 88 50 50.00 


49503.70 908.13 


49497.43 






Spigot Hill, 


- 


S.W. 78 27 17.00 


35903.60 7197.84 


33235.94 


Bald Hill - - 


- - to 


Chestnut Hill, - 


- 


N. E. 79 41 25.00 


87684.15 6744.30 


37075.73 






Miscoe Hill, 


- 


N. E. !50 01 02.00 


45761.73 29404.54 


35064.12 



TRIGONOMETRICAL SURVEY. 39 

SECTIONS III. AND IV. TABLE 1— Continued. 



NAMES OF STATIONS. 



Direc- 
tious. 



Bearings. 



Beacon Pole Hill - to 



Blue Hill 



- to 



Blue Hill Signal - 

Chestnut Hill - - 

Cupola of Mr. Bond's I 
house, Cambridge, | 



Distances 
in lecl. 



Northings Eastings 

or Southings or Westings 

in feet. in leet. 



Fay's Mountain 



- to 



Gumpus Hill 



Holt's Hill 



Lowell Church 
Moose Hill - 



to 



- - to 



- - to 

- - to 



Mount Pleasant - 



to 



Brusli Hill, 

Chestnut Hill, - 

Miscoe Hill, 

Pegan Hill, 

Brush Hill, 

Chestnut Hill, - 

Moose Hill, 

Pegan Hill, 

Mr. Bond's House, Cambr'ge, 

Miscoe Hill, . - . 

Blue Hill, Meridian Mark, - 

Transit of Harvard Observ. 

Brush Hill, - - - 

Chestnut Hill, - 

Miscoe Hill, - . - 

Moose Hill, - . - 

Pegan Hill, 

Forest Hill, 

Mount Pleasant, 

St. Ann's Church, Lowell, - 

Bald Pate Hill, - 

Mount Pleasant, 

Spigot Hill, - . . 

Mount Pleasant, 

Brush Hill, 

Chestnut Hill, - 

Miscoe Hill, ... 

Pegan Hill, 

Forest Hill, 



N. E. 10 25 47.00 02872.38 
N. W.55 55 42.00 41899.54 
N. W.38 31 01.00 

N. E. 22 52 04.00 98701.50 
N. W.78 41 57.00| 74559.95 

S. W. 66 51 • 37 . 00 135536 . 65 

S.W. 40 12 27.00 42022.30 



N. W.74 35 44.00 53491.77 
N. W.OO IC 22.50 58529.17 
N. W. 5 04 25.00 22748.15 

S.W. 00 04 19. Oo' 58526.15 

S.W. 79 13 08.00 33.22 
N. E. 86 33 54.00 66136. 3Q 

S. E. 12 46 56.00 05528.55 

I 
S. E. 10 50 35.00 43092.38 

I 
S. E. 69 07 03.00119875.61 

I 
N. E. 87 40 01.00 87631.94 

I 
S.W. 48 20 58.00 34796.16 

S. E. 36 23 05.00 32001.00 

S. E. 25 02 55.00 32074.00 

! 

N. E. 45 16 07.00 34575.66 
N. W.83 59 46.00 
N. W.22 31 50.00 57439.00 
S. E. 00 28 34.00 7786.88 
N. W.44 33 44.00 65538.63 
S.W. 77 44 41.00 99773.92 
N. W.89 08 39.00 99526.05 
N. W.27 49 57.00 52351.85 
N. W.86 38 42.00 45061.21 



91337.92 
23473.35 

90944.00 
14610.80 
53262.49 
.32098.08 
14209.07 
58528.50 
22059.02 

58525.43 

0.123 
3962.63 
63904.67 
41243.81 
42729.97 
3567.34 
23125.04 
25762.51 
29057.40 
24333.80 

53055.00 
3107.99 

46093.54 

21178..30 
1486.54 

46295.60 
2637.10 



16812.63 
34706.96 

38356.00 

73114.37 

124632.66 

27127.81 

51570.08 

278.79 

2011.74 

73.488 

32.03 
66017.50 
14497.92 
12486.07 
112001.40 
87559.-32 
26000.11 
18983.16 
13579.72 
24563.04 

22009.24 
7139.74 
45987.37 
97500.24 
99514.90 
24442.47 
44984.00 



40 TRIGONOMETRICAL SURVEY. 

SECTIONS III. AND IV. TABLE 1— Continued. 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Di.slances 
in t'eel. 


Noriliings 

or Soulliings 

in leet. 


Easlings 

or VVesiings 

ill (cet. 


Mount Pleasant - - 


to 


St. Ann's Cliurch, Lowell, - 


s.w. 


/ // 

58 37 34.00 


6328.80 


3294.90 


5403.44 


PeganHill - - - 


to 


Brush Hill, 


N. W. 


88 56 37.00 


21546.90 


397.25 


21543.20 






Chestnut Hill, - 


S.W. 


47 16 34.00 


99450.42 


67473.73 


73059.45 


Perkins' Hill - - - 


to 


Ipswich outer Light, - 


N.E. 


22 21 41.00 


21293.95 


19692.71 


8101.23 






Tilton's Hill, - 


N.E. 


3 16 28.00 


18254.55 


18224.75 


1042.70 


Prospect Hill, Rowley 


,to 


Bald Pate Hill, - 


N. VV. 


88 27 IG.OO 


33076.80 


892.14 


33064.80 






Harris St. Cli., Newburyport, 


N.E. 


7 41 18.00 


38061.14 


37719.00 


5093.00 






Perkins' Hill, - - - 


S. E. 


43 49 46.00 


37213.66 


26846.10 


25771.00 






Tilton's Hill, - 


S. E. 


72 10 28.00 


28165.95 


8622.16 


26813.67 


Prospect Hill, Wal- : 
tham, 


to 


Blue Hill, Meridian Mark, - 


S. E. 


30 07 09.00 


74384.53 


61341.41 


37326.17 






Brush Hill, 


S.W. 


.35 28 18.00 


61068. G3 


49734.45 


35438.15 






Cupola of Bond's House, > 
Cambridge, - - ) 


S. E. 


81 09 45.00 


37848.75 


5814.80 


37399.42 






Moose Hill, 


S. E. 6 14 38.00 

1 


97008.92 


96433.70 


10550.78 






Pcgan Hill, 


S.W. 15 29 28.00 


52024.00 


50134.06 


13895.03 


State House, - - - 


to 


Blue Hill, Meridian Mark, - 


S.W. 14 45 36.00 


55043.32 


53227.00 


14023.43 






Cupola of Bond's House, ) 
Cambridge, - - y 


N. W. 


69 11 46.00 


14922.40 


5300.00 


13949.47 






Moose Hill, - - - 


S.W. 


25 33 23.00 


94567.50 


85315.10 


40796.33 






Pegan Hill, 


S.W. 


59 07 03.00 


76022.13 


39020.57 


65243.84 


Squam Light - - - 


to 


Perkins' Hill, - 


S.W. 


70 01 28.00 


32862.45 


11226.45 


30885.40 


Tilton's Hill - - - 


to 


Ipswich outer Light, - 


N.E. 


78 15 06.00 


7209.60 


1467.96 


7058.55 



TRIGONOMETRICAL SURVEY. 



41 



SECTIONS III AND IV. 

TABLE 2. 

Tills Table shows the Bearings, with the Northings, Southings, Eastings or Westings 
made on each course, from -primitive stations to secondary objects, in the third and 
fourth sections, on parallels to the meridian of the State House. 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc- 
lioiis. 


Norlliings Easiirig^s 
Bearings. or Souilmigs or Wesiiiigs 
in I'eet. 1 in feet. 








/ // 


i 


Abington two-steeple Church, 


from 


Monk's Hill, 


N. W. 


5.3 34 54.00 


42937.22 58199.80 

1 


<i « " 


it 


Sprague's Hill, 


N. E. 


16 35 01.00 


27031.80^ 8050.10 


" Northeast Church, 


a 


Blue Hill, - 


S. E. 


61 03 37.00 


29791.83 53879.50 

1 


1( t( <c 


tt 


Prospect Hill, Hingham, 


S.W. 


34 36 53.00 


22808.64 15784.70 


Acton Church, - - - - 


ti 


Pegan Hill, - 


N. W. 


91 53 26.00 


858.33.36 34487.60 


« »t _ - - - 


u 


Prospect Hill, Walthani, 


N. W. 


53 34 42.00 


3.-.G97.26 48380.30 


Amcsbury West Church, - 


u 


Ayer's Hill, 


N. E. 


54 06 03.00 


10403.48 14456.00 


« « " - . 


it 


Bald Pale Hill, - 


N.E. 


3 50 58.00 


46384.00 


3121.03 


Andover Theological Seminary, - 


11 


Ayer's Hill, 


S.W. 


10 17 16.00 


57725.00 


20201.40 


(( U (< 


ti 


Gumpus Hill, 


S. E. 


65 16 02.00 


26469.14 


61803.20 


" Northeast Church, 


u 


Bald Pate Hill, - 


S.W. 


71 46 00.00 


8608.20 


26139.90 


« t( a 


a 


Holt's Hill, - 


N. W. 


5 42 36.00 


1.5725.60 


1572.36 


Attleborough East Church, 


« 


Beacon Pole Hill, 


S.E. G5 04 34.00 


20495.00 


44104.24 


(1 « It 


(( 


Red Brush Hill, - 


S.E. 38 06 54.00 


31172.20 


244.55.30 


Bedford Church, - . - 


<( 


Holt's Hill, - 


S.W. 


40 30 41.00 


54459.25 


46778.53 


« « ... 


u 


Prospect Hill, Wallham, 


N. W. 


10 27 48.00 


37510.00 


6928.35 


Bellingham tall-spired Church, - 


ti 


Chestnut Hill, 


N.E. 


74 15 27.00 


7592.86 


26935.72 


u u ft 


it 


Jliscoe Hill, 


S. E. 


62 .30 17.00 


15066.12 


26947.60 


Berkley Church, 


a 


Fall River Station, 


N.E. 


19 33 41.00 


47837.00 


J 6997. 90 


»' " - - _ - 


(C 


Great Meadow Hill, 


S. E. 


09 3G 55.00 


13511.00 


3a359.70 


Beverly Church, . - - 


(( 


Coddon's Hill, - 


N. W. 


18 29 28.00 


11836.53 


G424.33 


« « . . . . 


(t 


Holt's Hill, - - - 


S.E. 


61 23 54.00 


33532.60 


61498.90 


" white-spired Church, 


tc 


Perkins' Hill, 


S.W. 


53 30 02.00 


19600.34 


26759.20 


ft it (i 

6 


(( 


Prospect Hill, Rowley, 


S.W. 


1 12 49.00 


46633.00 


987.90 



42 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc- 
tiuns. 


Bearings. 


Nnrihiu^s 

or Southings 

iu feci. 


Eastings 

or Wesiingg 

iu feet. 


Billerica tall-spired Church, - from 


Gumpus Hill, 


1 o / // 

S, E. 22 13 54.00 


60728.81 


24822.12 


«( (( u _ u 


Holt's Hill, - 


S.W. 55 55 20.00 


29733.24 


43953.53 


Boston Harbor, Fort Independence ? „ 
flag-pole, - - - I 


Blue Hill, - 


N. E. 30 59 IG.OO 


46080.80 


27674.83 


ti u a ({ . « 


Prospect Hill, Hingham, 


N. W.33 23 17.00 

1 


53000.30 


41989.43 


" Hollis Street Church, - " 


State House, 


S.W. 


2 56 36.00 


3055.85 


157.12 


Boundary Stone in N. H. State line, ") 
at the corners of Haverhill and > " 
Mothuen, - - . . |) 


Spigot Hill, - 


N. E. 


30 04 59.00 


2821.07 


1634.20 


Boxborough Church, - - - " 


Fay's Mountain, - 


N. E. 


16 52 18.00 


91527.34 


27758.70 


" **._-« 


Pegan Hill, - 


N. W.W 12 30.00 


87962.00 


59797.63 


Boxford new Church, - - " 


Bald Pate Hill, - 


S. E. 15 45 44.00 

1 


15948.46 


4.501.60 


(( **«_._ " 


Holt's Hill, - 


N. E. 73 54 29.00 

1 


8384.70 


29064.83 


Bradford West Church, - - . " 


Ayer's Hill, 


S.W. 


19 23 05.00 


14361.00 


50.53.00 


it it H _ _ (( 


Haverhill tall-spired Ch. 


S. E. 


6 22 45.00 


3823.95 


428.03 


Braintree Church, . - - « 


Blue Hill, - 


S. E. 


80 57 45.00 


4583.96 


28819.22 


« " ... 1' 


Scituate Hill, 


S.W. 


73 53 09.00 


13873.00 


48019.62 


Bridgewater Church, . - " 


Blue Hill, - 


S. E. 


24 16 10.00 


81278.00 


36646.17 


" « . - - « 


Joes Rock Hill, - 


S. E. 


82 18 33.00 


15598. 42' 11 5507. 60 


Brighton large Church, . - " 


Dorchester Height Stat'n, 


N. W. 


78 18 10.00 


6001.64 


28989.26 


a « (£ _ _ ft 


State House, 


S.W. 


82 26 56.00 


3205.70 


24183.01 


Brookline, Dr. Pierce's Church, - " 


Blue Hill, - 


N. W. 


6 01 04.00 


41955.. 52 


4459.88 


(( it a _ u 


State House, 


S.W. 


58 08 01.00 


11271.46 


18132.06 


" Baptist Church, - " 


Blue Hill, - 


N. W. 


1 39 10.00 


44183.90 


1274.90 


it (( <( _ _ (t 


State House, 


S.W. 


58 49 50.00 


9043.83 


14951.12 


Cambridge stone-colored Church, " 


Blue Hill, - 


N. W. 


1 16 27.00 


59214.61 


1317.05 


u It a _ II 


State House, 


N. W. 


68 13 40.74 


5986.83 


14989.36 


Canton Gothic Church, - - " 


Blue Hill, - 


S.AV. 


21 55 07.00 


13353.31 


5373.03 


it U (1 _ _ (t 


Moose Hill, - . - 


N.E. 


49 15 30.00 


18739.61 


21754.80 


Carlisle Church, ..." 


Bumsket Hill, 


N.E. 


61 09 59.00 


81675.80 


148361.50 


II "-.-.« 


Wachusett Mountain, - 


N.E. 


84 45 04.00 


13314.63 


144933.00 



TRIGONOMETRICAL SURVEY. 43 

SECTIONS III AND IV. TABLE 2 — Continued. 



WHAT OBJECT3 FROM WHAT STATIONS. 


Direc- „ 

tions. Bearings. 


Northings 

or Southings- 

in feel. 


Eastings 

or Westings 

in feet. 








/ // 






Carver Church, - - - - 


^rom 


Monk's Hill, ' ' 


S. W. 54 15 46.00 

1 


15167.37 


21078.71 


Charlestown, Bunker Hill Monument 


(( 


Nahant Station, . 


S.W. 


63 34 00.50 


16773.90 


37765.04 


» U f( (( 


(( 


Stale House, 


N.E. 


6 46 14.00 


0625.94 


786.64 


Chelmsford North Church, - 


(( 


Forest Hill, 


S. E. 67 34 54.00 


8928.90 


21643.45 


iC " ■ 1< . . 


(( 


Mount Pleasant, - 


S.W. 74 54 49.00 


6291.80 


23340.51 


Chelmsford Church, - - - 


a 


Gumpus Hill, 


S.E. 


2 59 53.00 


46820.90 


2452.20 


({ « _ - * 


« 


Poplar Hill, - 


S.W. 


27 39 03.00 


50109. .53 


26253.25 


" Middlesex Church, - 


u 


Forest Hill, - 


S. E. 


72 05 19.00 


9461.77 


29274.32 


a u <( 


<t 


Mount Pleasant, - 


S.W. 


66 31 07.00 


6824.53 


15709.66 


Chelsea Church, - • . 


(( 


Blue Hill, - 


N. E. 22 00 52.50 


71797.00 


29029.13 


" " . . . . 


(C 


Scituatellill, 


N. W.3r 24 4.3.50 


62507.09 


47811.20 


" Ferry Church, 


IC 


Dorchester Height, 


N.E. 


5 48 37.00 


21135.08 


2150.65 


Ct l( *' . « • 


i( 


Stale House, 


N. E. 30 15 13.00 


11927.40 


0956.90 


Cohasset Church, .... 


<t 


Blue Hill, ' 


N.E. 82 15 42.00 


11434.67 


84148.60 


(t (C ... 


<( 


Nahant Station, ■■ 


S. E. 25 24 49.00 


67192.60 


31925.00 


Concord Church, . . - 


(( 


VVachusett Mountain, - 


S. E. 85 25 24.00 


11618.36 


145142.07 


«« « ... 


i( 


Watalick Mountain, 


S. E. 59 06 33.00 


873-28.54 


145968.30 


Danvera Village Church, - 


(t 


Bald Pate Hill, - 


S. E. 


19 42 44.00 


06856.26 


23952.63 


(t u << . . 


(( 


Prospect Hill, Rowley, - 


S.W. 


7 51 50.00 


65903.50 


9110.84 


Danvcrs Church, ... 


<c 


Castlo Hill, - 


N.E. 


39 19 23.00 


27628.64 


22632.36 


" " ... 


it 


Coddon's Hill, - 


N. W. 


58 35 46.00 


17478.93 


28630.07 


Dartmouth, Padanaram Church, - 


(t 


Falmouth Station, 


S.W. 87 39 08.00 


3621.30 


8*325.66 


u U 1< 


it 


Indian Hill, ... 


N. W.51 19 39.00 


57825.23 


72248.72 


Dedham Church, ... 


(( 


Blue Hill, . 


N. W.51 47 26.00 


13508.90 


17161.00 


•* " ... 


(C 


Moose Hill, ... 


N.E. 


12 19 39.00 


45600.43 


9965.41 


" South Church, - 


(( 


Blue Hill, - 


N. W. 


75 41 54.00 


5954.10 


23356.00 


tc it « ^ ^ 


« 


Moose Hill, . - - 


N.E. 


8 12 40.00 


26138.82 


3771.83 


" West Church, - 


t( 


Blue Hill, - 


N. W. 


88 08 26.00 


806.45 


20688.85 


CI (( ti . ^ 


II 


Moose Hill, - 


N.E. 


00 45 47.00 


32959.30 


438.97 


Dighton, Richmond Hill, three-point 


It 


Copecut Station, - 


N. W. 


30 45 01.00 


31388.66 


18674.50 



44 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 2 — Continued. 



WHAT OBJECTS FROM 


WHAT STATIONS. 


Direc- 
tions. 


Bearings. 


Nnrlhings 

or Southings 

in k-cl. 


Eastings 

or Westings 

in tect. 


Dighton, Richmond Hill, 3 point, 


from 


Fall River Station, 


N. E. 


/ // 

7 41 28.00 


35223.72 


4750.87 


Do-chcster, Dr. Harris's Church, 


u 


Nahant Station, - 


s.w. 


41 10 53.00 


43618.80 


S8160.35 


11 ti ii (( 


a 


Scituate Hill, 


N. W. 


07 43 13.00 


25720.57 


62770.50 


Church, - 


(C 


Nahant Station, - 


S.W. 


39 04 40. 00 


49908.43 


40578.40 


« "... 


(C 


Prospect Hill, Wallham, 


S. E. 


54 06 50.00 


35684.01 


49321.02 


Dover Church, - - - - 


(( 


PeganHill, - 


S. E. 


73 33 51.00 


1848.11 


5884.44 


U 11 .... 


u 


South Natick Church, - 


S. E. 


4l 50 33.00 


9989.17 


8944.70 


Lracut, (p3ar Patucket Bridge,) - 


a 


Gumpus Hill, 


S. E. 


10 21 16.00 


27376.90 


8C33.80 


(( U U it 


(t 


Mount Pleasant, - 


S.W. 


81 36 46.00 


1614.30 


1C949.35 


" old Church, no spire. 


t( 


Forest Hill, - 


N. E. 86 28 19.00 


2581.00 


41872.40 


11 (( 4( il it 


(( 


Mount Pleasant, - 


N. W.30 48 18.00 


5218.70 


3111.00 


Dunstable, square-towered Church, 


il 


Wachusett Mountain, - 


N. E. 


58 30 34.00 


60G83.70 


109285.90 


it (( t( 


11 


VVatatick Mountain, 


S. E. 


85 19 03.00 


9019.00 


110112.81 


Duxbury, yellow Church, - 


il 


Manoinet Hill, 


N. W. 


35 27 04.00 


39131.00 


27801.31 


" H a . . 


11 


Monk's Hill, 


N. E. 


16 39 27.00 


27113.53 


8112.53 


" Village Church, - 


(( 


Manomet Hill, 


N. W. 


29 50 42.00 


39299.00 


22547.70 


K (( it . . 


a 


Monk's Hill, - " - 


N. E. 


26 12 18.00 


27280.83 


13426.48 


East Bridge-water Church, - 


il 


" t* - - 


N. W. 


08 21 12.00 


24849.83 


62614.47 


u u t( _ _ 


il 


Prospect Hill, Hingham, 


S.W. 


23 27 11.00 


59008.43 


25800.44 


Easton Church, . . - 


tt 


Moose Hill, - . - 


S. E. 


44 45 50.00 


31946.74 


31084.52 


« " . . . - 


u 


Sprague's Hill, - 


N. W. 


72 11 42.00 


11435.18 


35005.74 


Essex old Church, ... 


it 


Perkins' Hill, 


N. E. 


80 37 57.00 


690.69 


4180.84 


** " '* ... 


it 


Tilton's Hill, 


S. E. 


10 09 50.00 


17534.18 


3143.50 


Fall River Baptist Church, 


i( 


Fall River Station, 


S.W. 


38 28 48.00 


3973.53 


3158.42 


t( il ii *f . - 


i( 


King's Rock, 


S. E. 


.56 27 48.00 


20587.00 


31060.36 


Falmouth Church, - - - 


(C 


Falmouth Station, 


S.W. 


1 36 24.00 


10017.70 


449.28 


tt t* _ _ - 


11 


Prospect Hill, Chilmark, 


N. E. 


26 43 44.00 


08785.85' 34014.10 

1 


" North Cliurch, - 


il 


Cuttyhunk Station, 


N. E. 


46 42 13.00 


81088.15 86059.50 


il (t " . _ 


(( 


N. Bedford Court House, 


N. E. 


87 48 19.00 


3274.53 85443.74 

1 


Foxborough Church, 


it 


Blue Hill, - 


S.W. 


34 46 31.00 


53552.65 


37185.80 



TRIGONOMETRICAL SURVEY. 
SECTIONS III AND IV. TABLE 2 — Contintted. 



45 



WHAT OBJECTS FROM WHAT STATIONS. 



Foxborough Church, - 
Framingham N. Church, - 



fVom 



" Saxonville Church, 

» <c u 

Franklin Church, ... 
« " . - _ 

Freetown, Ass't Nor'h Church, - 
Georgetown tall-spired Church, - 

Gloucester Harbor Church, 

(( li a 

Groton tall-spired Church, - 

Halifax Church, ... 

» " . _ . . 

Hamilton Church, - . - 

« " ... 

Hanover Church, ... 

« " ... 

Hanson Church, ... 

" « ... 

Haverhill Church, new tall-spired, 

(( (( u u 

" " west brick, 

U t( it (( 

" " new east, 

CC (( tt ({ 

Hingham Dutch-built Church, - 
i< tt It 



Sprague's Hill, 
Brush Hill, - 
Fay's Mountain, - 

Pegan Hill, 
Fcy's Mountain, - 
Pegan Hill, 
Great Meadow Hill, 
Ayer's Hill, 
Powow Hill, 

« t* . - 

Rail-cut Hill, 
Wachusett Mountain, - 
Watalick Mountain, 
Blue Hill, - 
Manomet Hill, 
Holt's Hill, - 
Powow Hill, 
Manomet Hill, 
Monk's Hill, 

Telegraph Hill, - 

Ayer's Hill, 

Bald Pate Hill, - 

Ayer's Hill, 

Holt's Hill, - 

Bald Pale Hill, - 

Prospect Hill, Rowley, 

Blue Hill, - 

Prospect Hill, Hingham, 



Direc- 
tions. 



N. W. 
N. W. 
N. E. 
N. E. 
N. W, 
S. E. 

s. vv. 

S. E. 
S. E. 
S.W. 
S. E. 

s. w. 

N. E. 

S. E. 

S. E. 
N. W, 

S. E. 

S. E. 
N. W, 
N. W. 
N. W, 

S.W. 

S.W. 
N. W 

S. W. 
N. W 
N. W 
N. W 

N. E. 
N. W 



Bearings. 



Northings 

orSuulhiiigs 

in leet. 



74 10 36 
.35 25 09. 

66 24 00 
G2 41 48 
42 17 47 
47 59 03 
24 15 39 
53 07 00 
31 26 57 

13 20 47. 

38 36 02 

39 16 23 
64 10 00. 
68 48 01 , 

40 30 07, 
72 42 41 
84 23 28 

14 20 08 
42 10 52, 
24 26 28 

49 14 58 

67 03 05 
27 29 36 
33 31 06 
71 09 07 

7 39 00 
9 59 48 

50 29 58 
80 09 23 
24 51 22 



Eastings 

or Westings 

in feet. 



21922.34 
18981.51 
22943.86 
31896.24 
28327.85 
55009.80 
58040.13 
30321.45 
31580.20 
53250.65 
9)833.72 

5612.09 
41849.08 
33850.70 
80468.56 
22928.22 

6659.77 
88582.00 



00 55537.50 
00 35727.24 
00 20435.22 



10532.02 
25368.50 
C959.6I 
53295.11 
30852.05 
31739.32 
10673.55 
17594.81 



77351.64 
13498.71 
52516.41 
61769.00 
25773.10 
61127.20 
26438.80 
40408.85 
19313.87 
12633.45 
73311.40 

4589.04 
86440.60 
87271.56 
68731.36 
73665.63 
67813.23 
22637.80 
61212.00 
25241.00 
41462.70 
48262.68 

5481.07 
16815.95 
20387.05 

71.58.43 

5438.20 
38502.11 
61514.07 

8150.86 



46 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc 
ttuns. 


Bearings. 


Northings 

orSoulhiiJgs 

in feet. 


Eastings 

or Wesimgs 

in feet. 


Hingham Great Plain Church, 


■ from 


Blue Hill, - 


S. E. 


/ // 
89 32 53-00 


491,66 


62329.90 


C( (( tt C( 


- 11 


State House, 


S. E, '42 10 12.00 


53718.90 


48658.06 


" Old Colony House, 


** 


Blue Hill, - 


N. E. 78 44 51.00 

1 


13020.04 


65445-76 


H tl IC (( 


*t 


Castle Hill, - 


S. E. 27 57 55.00 


87780,00 


46605.20 


Holliston Church, 


tl 


Brush Hill, - 


S.W. 34 24 07.00 


18207.05 


12467.52 


U i( 


It 


Pegan Hill, 


S.W. C2 21 36.00 


17811.76 


34012.91 


Hopkinton Cluirc/i, 


d « 


Bumsket Hill, 


S. E. 75 12 10.00 

1 


26960.50 


102073.33 


tt u ^ ^ 


(I 


Prospect Hill, Waliham, 


S.W, 51 18 07.00 


57068-83 


71987.46 


Hull, Nantasket flag-staff, - 


It 


Blue Hill, - 


N. E. 59 20 09.00 


33626.68 


56714.53 


« « 11 


1. " 


Castle Hill, - 


S. E. 29 24 55.00 


67176-CG 


87875.70 


Ipswich Church, 


(t 


11 ** - J, 


N. E. 38 31 55.00 

1 


70323-36 


56000.50 


** " - - * 


** 


Rail-cut Hill, 


N. W.C9 14 4(5,00 


19102-40 


50409-52 


Kingston Village Church, - 


11 


Manomet Hill, 


N. W.58 02 53.00 


23848-76 


38237.33 


(( (( It 


** 


Telegraph Hill, - 


S.W. 


11 33 14.00 


44331 -70 


9062.81 


Lexington Church, 


- 


Blue Hill, - 


N, W. 


19 54 43.00 


86497-74 


31.332.14 


« " ■ . 


ii 


Holt's Hill, - 


S.W. 25 38 07-00 

j 


69826.56 


33508.20 


Lincoln Church, 


<( 


Blue Hill, - 


N. W.32 55 42.00 

j 


78655.09 


509.39-45 


" " - - 


11 


Castle Hill, - 


S.W. 


72 23 28.00 


22146-30 


69776.28 


Little Compton, R. I. Cliurch, 


t( 


Nootas' Hill, 


S.W. 


52 32 44-00 


10055.16 


13125.73 


a i< tl tl 


te 


Rhode Island Station, - 


S. E. 


40 24 55.00 


26733.00 


22763.80 


Lowell Church, 


*' 


Gumpus Hill, 


S. E. 


22 18 23.51 


28873.24 


11845 62 


i( •'..*.. 


b *( 


Holt's Hill, - 


N. W.87 51 50.00 


2123.49 


56931.95 


" St. Ann's Church, - 


II 


Gumpus Hill, 


S. E. 


25 02 55.00 


29057.40 


13579.72 


tt a 11 (I . 


b *t 


Mount Pleasant, - 


S.W. 


58 37 34.00 


3294.90 


5403.44 


Lynn Church, - - - . 


i " 


Blue Hill, - 


N. E. 


25 34 17.00 


91830.08 


4.3940.22 


11 i( - _ * 


t '( 


Scituate Hill, 


N. W. 


21 43 50.00 


82542.26 


32898.48 


" East Church, ^ 


t «t 


Nahant Station, - 


N. W. 


IG 40 35.00 


14869.60 


4482.81 


11 U tl -. * 


<* 


State House, 


N. E. 


40 14 04.00 


40267.30 


34070.10 


Lynnfield Church, 


11 


Castle Hill, - 


N. W. 


3 07 03.00 


18508.50 


1008.03 


Maiden black top Church, * 


k <' 


Dorchester Height, 


N. W. 


10 06 40.00 


33535.95 


5980.37 



TRIGONOMETRICAL SURVEY. 
SECTIONS III AND IV. TABLE 2 — Continued. 



47 



WHAT OBJECTS FROM WHAT STATIONS. 


Dlrec- 
lions. 


Bearings. 


Norihings 

or Soulhings 

ill (ect. 


Eastings 

or Wrstings 

ill feeU 


Maiden black top Church, - 


Tom 


State House, 


- 


N. W. 


/ // 

2 45 47.00 


24328.32 


1174.13 


" square-towered Church, 


11 


Blue Hill, - 


- 


N.E. 


9 26 27.00 


76935.24 


12792.90 


(( (C (£ it 


It 


Prospect Hill, 


Waltham, 


N. E. 


75 59 22.00 


12594.16 


50472.80 


Manchester Church, - - - 


It 


Blue Hill, - 


- 


N.E. 


34 52 00.00 


132.388.06 


92240.74 


« <* • - - 


11 


Scituate Hill, 


- 


N.E. 


7 07 49.00 


123094.71 


15398.67 


Mansfield Church, - - - 


II 


Great Meadow Hill, 


N.E. 00 05 46.00 


52861.12 


88.67 


« " ... 


11 


Red Brush Hill, - 


S. E. 86 48 49.00 


2356.97 


42337.92 


Maiblehead square-towered Church, 


It 


Prospect Hill, Hingham, 


N. E. CO 40 29.00 


114020.90 


1342.78 


« II 11 u 


It 


State House, 


- 


N. E. 46 46 56.00 


53874.32 


57.334.70 


" North Church, 


11 


Coddon's Hill, 


- 


S. E. 


27 27 02.00 


3388.00 


1759.96 


11 11 ' 11 . . 


11 


Salem tall-spired Church, 


S. E. 


71 25 46.00 


4664.37 


13883.50 


Marshfield Church, ... 


It 


Monk's Hill, 


- 


N. W. 


4 32 11.00 


65876.23 


5226.67 


11 11 - - _ 


It 


Prospect Hill, 


Hingham, 


S. E. 


59 28 42.00 


18583.85 


31521.85 


Medfield Church, . . - 


It 


Moose Hill, - 


- 


N. W. 


47 11 22.00 


23180.40 


25023.25 


" 11 - . - 


II 


Pegan Hill, - 


- 


S.W. 


1 26 25.00 


23116.20 


581.21 


Medford new Church, 


If 


Prospect Hill, Waltham, 


N.E. 


72 47 29.00 


11602.30 


37461.02 


<« « « - . . 


II 


State House, 


- 


N. W. 


31 26 27.00 


22721.04 


1.3891.21 


Medway West Church, 


II 


Brush Hill, - 


- 


S.W. 


18 42 39.00 


39026.30 


13217.90 


(1 It " _ . - 


11 


Moose Hill, 


- 


N. W. 


82 36 56.00 


7672.92 


59204.04 


" East Church, 


II 


11 11 


- 


N. W.69 49 27.00 


15099.90 


41093.80 


*« 11 « - - . 


11 


Pegan Hiil, - 


- 


S.W. 


28 05 04.00 


31197.71 


16647.15 


" Factory Village Church, 


11 


Moose Hill, - 


- 


N. W.82 53 41.00 


6240.40 


50063.21 


(1 11 11 _ _ 


11 


Pegan Hill, - 


- 


S.W. 32 36 04.00 


40055.83 


25617.86 


Mendon Church, ... 


It 


Chestnut Hill, 


- 


N. E. 19 22 27.00 


14802.40 


5205.25 


11 11 ... - 


11 


Miscoe Hill, 


- 


S. E. 42 34 18.00 


7856.42 


7217.19 


Methuen square-towered Church, 


11 


Gumpus Hill, 


- 


N. E. 88 36 11.00 


1156.14 


47409.92 


11 i( 11 It 


11 


Holt's Hill, - 


- 


N. W.:33 36 23.00 


32153.00 


21367.56 


Middleborough North Church, - 


If 


Blue Hill, - 


- 


S. E. 19 37 52.00 


101902.40 


36348.20 


11 II 11 


11 


Moose Hill, 


- 


S. E. 42 16 46.00 


69809.58 


63476.00 


" Four Corners Church 


II 


Alden's Hill, 


- 


N.E. 


25 04 49.00 


22758.61 


10651.45 



43 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 2 — Contimted. 



WHAT OBJECTS FROM 


WHAT STATIONS. 


Direc- 
tions. 


Nordiings 
Bearings, or Souihings 
ill loel. 


En^ling-s 

or Weslings 

ill feet. 










O 1 II 1 




MiddleboroLigh Four Corners Ch., 


from 


Blue Hill, - 


S. E. 


25 22 4G. 00 116430.94 

t 


55234.30 


" Ionic Church, - 


a 


Alden's Hill, - - 


N. E. 


•31 49 55.00 28672. CO 


17789.90 


(t (t (( 


it 


Manomet Hill, 


S.W. 


84 54 30.00 


7129.54 


80016.40 


Middleton three point Station, - 


it 


Bald Pate Hill, - 


S. E. 


10 47 56.00 


40147.05 


7657.65 


ti a (( u 


a 


Holt's Hill, - 


S. E. 


G3 51 33.00 


15813.24 


32220.70 


old Church, 


a 


It t* - 


S. E. 


58 11 28.00 


16504.42 


26609.70 


(( (( <( ^ . 


ii 


Middleton 3 point Stat'n, 


S.W. 


82 58 39.00 


C91.18 


5009.72 


Milford Church, 


tt 


Chestnut Hill, 


N.E. 


27 24 57.00 


27071.4-3 


14042.00 


" " _ - - _ 


(( 


Miscoe Hill, 


N. E. 


74 38 00.00 


4416.47 


16053.43 


Milton old Church, - - - 


t( 


Prospect Hill, Waltliam, 


S. E. 


43 34 21.00 


49287.00 


46890.25 


ti It it _ _ _ 


a 


State House, 


S.W. 


G 39 39.00 


38172. 80 


4457.83 


" Stone Church, near Rail-roac 




Dorchester Height, 


S. E. 


3 41 00.00 


27301.90 


1757.56 


(( (( U it (( 


u 


State House, 


S. E. 


10 11 31.00 


36509.52 


6563.80 


Natick South Church, 


u 


Brush Hill, - 


N.E. 


07 15 55.00 


77445.55 


18482.50 


ti it *( - « - 


(( 


Pegan Hill, 


N. W. 


20 30 05.00 


8141.05 


3060.24 


" new tali-apired Church, - 


(( 


Brush Hill, - 


N.E. 


40 47 27.00 


11746.02 


10136.50 


it tt a it 


(( 


Pegan Hill, 


N. W. 


43 12 25.00 


12144.84 


11407.53 


Nashawena House Chimney, 


a 


Prospect Hill, Chilmark, 


N. W. 


51 49 50.00 


25849.66 


32885.13 


U U tl 


It 


Falmouth Station, 


S.W. 


49 03 35.00 


58942.54 


67948.60 


Needham tall-spired Church, 


ti 


Pegan Hill, 


N.E. 


10 26 45.00 


16479.63 


3038.21 


tt tt (( 


ti 


South Natick Church, - 


N.E. 


36 10 43.00 


8338.60 6098.45 


" short-spired Church, 


(( 


Pegan Hil!, 


N.E. 


47 44 10.00 


13553.20 


14913.63 


tt it tt 


(> 


Prospect Hill, Waltham, 


S. E. 


1 35 42.00 


36580.90 


1018.60 


New Bedford large-spired Church, 


(( 


Falmouth Station, 


N. W. 


80 42 Go. 00 


13816.62 


84465.52 


tt It it it 


ti 


Indian Hill, - - - 


N. W. 


42 15 33.00 


75264.37 


68387.23 


" " head of river Church 


(t 


Mendal's Hill, - 


S.W. 


58 57 13.00 


6546.40 


10875.06 


(( It &t It t( 


u 


N. Bedford Court House, 


N.E. 


7 06 12.00 


17698.40 


2205.50 


" " Mariners' Church, 


(( 


U " (1 


N.E. 


82 17 51.00 


268.40 


1984.50 


tt it (t (( 


ti 


" large Church, 


S. E. 


51 16 26.00 


613.37 


764.90 


Newburyport Unitarian Church, - 


(t 


Ayer's Hill, - 


N.E. 


88 10 07.00 


1593.26 


49828.70 



TRIGONOMETRICAL SURVEY. 49 

SECTIONS III AND IV. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc- 
tions. 


Bearings. 


Norlliings 

or fcsouihings 

in feel. 


Eastings 

or Westings 

in leel. 


Newbury Church, - . . 


from 


Powow Hill, 


S. E. 


o / // 

40 10 35.00 


24108.74 


20356.40 


u " - ■ . 


ti 


Salisbury Marsh Station, 


s.w. 


■33 03 09.00 


26363.30 


11219.10 


" {north of Port) Church, 


11 


Ayers' Hill, 


N. E. 


84 20 37.00 


4450.04 


44929.65 


tt ti ti u 


11 


Prospect Hill, Rowley, - 


N. E. 


00 44 17.00 


41261 . 10 


531.53 


Newburyport Unitarian Church, - 


11 


Powow Hill, 


S. E. 


41 41 29.00 


20077.46 


17882.80 


" Harris Street Church, 


ft 


Ayers' Hill, 


N.E. 


88 56 56.00 


908.15 


49497.43 


« ft (1 11 


11 


Prospect Hill, Rowley, - 


N.E. 


7 41 18.00 


37719.00 


5092.00 


Newton tall-spired Church, 


It 


Brush Hill, - 


N.E. 


59 52 17.00 


29898.80 


51518.50 


11 i( 11 . . 


11 


Moose Hill, ... 


N.E. 


4 08 00.00 


76599.40 


5535.50 


" Upper Falls Church, 


11 


Pegan Hill, - 


N.E. 


42 40 03.00 


23550.20 


21706.76 


« 11 If 11 


If 


Prospect Hill, Waltham, 


S. E. 


16 22 32.00 


26583.88 


7811.74 


North Bridgewater Church, 


ff 


Monk's HiU, 


N. W. 


60 51 51.00 


45142.10 


80985.10 


11 11 ff . . 


ff 


Sprague's Hill, 


N. W. 


26 44 40.00 


29238.22 


14734.04 


Norton Church, ... 


11 


Beacon Pole Hill, 


S. E. 


79 50 38.00 


12516.81 


69873.50 


11 " . . . . 


11 


Great Meadow Hill, 


N.E. 


13 59 17.00 


32023.77 


7977.33 


Pawtucket Church, ... 


fi 


College Hill, 


N.E. 


20 13 16.50 


13867.50 


5108.08 


ff ff 


11 


Great Rock Hill, - 


N. W. 


75 41 05.51 


6527.20 


25578.40 


Penequese Island, ... 


fi 


Cuttyhunk Station, 


N.E. 


14 25 57.00 


10459.83 


2691.95 


11 11 ... 


It 


Indian Hill, - . - 


N. W. 


84 03 41.00 


7024.43 


67528.90 


Plymouth Beach Breakwater, 


11 


Monk's Hill, 


N.E. 


69 53 42.00 


6902.91 


18858.00 


CC If ff . . 


11 


Telegraph Hill, - 


S. E. 


13 45 13.00 


49258.63 12057.08 


" Court House, 


It 


Manomet Hill, 


N. W. 


02 33 22.00 


10794.44 20770.82 

1 


« ff fi , . 


It 


Monk's Hill, 


S. E. 


85 24 00.00 


1223.20 15202.76 

1 


" Eel River Church, 


It 


ti ti _ . 


S. E. 


71 01 40.00 


6784.30 


25551.71 


fi If ft ft _ 


ti 


Telegraph, Hill, 


S. E. 


16 06 18.00 


64945.70 


18751.75 


" Harbor Monument, 


11 


Monk's Hill, 


N.E. 


63 10 15.00 


10018.13 


19807.51 


ft ft 11 _ _ 


11 


Telegraph Hill, - 


S. E. 


15 44 33.00 


46144.30 


13007.52 


Plympton Church, ... 


11 


Blue Hill, - 


S. E. 


41 04 28.00 


93271.70 81292.80 


" " ... 


ft 


Monk's Hill, 


S.W. 85 41 31.00 


1892.00 25123.50 


Providence, R. I., College Chapel, 


tf 


Copecut Station, - 


N. W. 


07 45 49.00 


38347.40 


93797.10 



50 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc- 
tions. 


Northings Eiistin;^s 
Bearings. orSouilnngs or Weslings 
in feet. in feet. 


Providence, R. I., College Chapel, 


from 


Rhode Island Station, - 


N. W. 


/ // 1 

24 29 03.00 88880.20 


40475.37 


Quincy Stone Church, 


a 


Prospect Hill, Hingham, 


N. W.'ei 53 23. Oo] 21151.75 


39596.61 


*' ** « - - _ 


ti 


State House, 


S. E. 


22 48 23.00 38988.77 


16394.50 


Randolph Church, (with clock) - 


a 


Blue Hill, - 


S. E. 


47 20 49.00| 18040.00 


19581.42 


EC U U U 


a 


Sprague's Hill, - 


N. W.[l9 42 58.00 57435.73 


20582.71 


Randolph East Church, 


a 


Blue Hill, - 


S. E. 54 01 20.00 20G90.05 


28500.65 


" (i (( 


11 


Sloose Hill, - - - 


N. E. 78 24 57.00^ 11403.86 


55628.46 


Reading Church, - - - 


(t 


Bald Pate Hill, - 


S.W. 


19 18 26.00 48303.60 


16922.52 


" *'---- 


a 


Holt's Hill, - 


S. E. 


17 40 48.00 23969.80 


7640.52 


Reading Church, (wood end,) 


a 


Castle Hill, - 


N. W. 


49 07 29.00 13549.83 


15656.40 


U <( (( (( 


(t 


Holt's Hill, - 


S. E. 


1 22 25.00 


41969.26 


1006.37 


Rehoboth new Church, 


a 


Great Meadow Hill, 


S.W. 


34 22 12.00 


14024.60 


9592.05 


(( a u _ _ 


t( 


Great Rock Hill, - 


S. E. 


55 00 41.00 


6702.90 


9576.79 


" no spire yellow Church, 


u 


Great Meadow Hill, - 


S.W. 


41 01 53.00 


13660.16 


11887.74 


U (C t( U £( 


(( 


Great Rock Hill, - 


S. E. 


48 57 33.00 


6338.48 


7281.10 


Rochester, Mattapoiset Church, - 


u 


Indian Hill, - - - 


N. W. 


24 51 43 00 




• 


a t( (( 


It 


New Bedford C't House, 


N. E. 


71 26 07.00 


10209.30 


30398.20 


Rockport, Squam Church, - 


11 


Powow Hill, 


S. E. 


44 05 05.00 


74182.80 


71849.80 


tC (( it _ _ 


tc 


Prospect Hill, Rowley, - 


S. E. 


75 11 41.00 


15697.63 


59391.00 


Rowley, Byfield Church, - 


<t 


Ayers' Hill, - 


S. E. 


53 54 34.00 


24698.30 


33881.52 


tt an , _ 


<f 


Powow Hill, 


S. E. 


2 23 17.00 


46369.00 


1933.75 


Church, 


(( 


Ayers' Hill, - 


S. E. 


56 03 54.00 


32001.86 


47561.00 


" " - - - . 


(( 


Prospect Hill, Rowley, - 


N. E. 


33 17 03.00 


4809.50 


3157.27 


Roxbury (Dr. Porter's) Church, - 


(( 


State House, 


S.W. 


34 22 51.60 


10301.11 


7048.31 


u t( <f a 


(( 


Scituate Hill, 


N. W. 


64 24 10.00 


33038.16 


70217.00 


South-West Church, - 


a 


Blue Hill, - 


N. W. 


17 05 26.00 


27730.41 


8525.98 


" a II « 


<c 


Pegan Hill, - 


N. E. 


72 33 39.00 


13521.50 


43044.03 


Salem East India Marine Hall, - 


a 


Coddon's Hill, - 


N. W. 


79 38 12.00 


1889.79 


10333.90 


(C a (t ([ (c 


11 


Salem tall-spired Church, 


N. E. 


71 04 49.00 


613.42 


1789.63 


" tall spired Cliurcli, - 


£( 


Blue Hill, - 


N.E. 


27 19 09.00 


112235.00 


57976.21 



TRIGONOMETRICAL SURVEY. 
SECTIONS III AND IV. TABLE 2 — Co ntinued. 



SI 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc- 

lions. 


Bearings. 


Norlhings 

or Southings 

in feet. 


Eastings 

or Westings 

in feet. 


Salem tall-spired Church, - 


from 


Holt's Hill, - 


S. E. 


o / // 
51 41 01.00 


44095.22 


55801.38 


Salisbury New Church, 


(( 


Ayers' Hill, - 


N.E. 


75 51 54.00 


13290.74 


52800.02 


a 11 ti ^ t. 


t( 


Powow Hill, 


S. E. 


C8 07 41.00 


8371.13 


20853.33 


Scituate Church, * .. .. 


(t 


Blue Hill, - 


S. E. 


87 31 13.00 


4206.14 


97125.20 


" " - - - - 


« 


Nahant Station, - 


S. E. 


28 27 21.00 


82833.24 


44892.14 


*' Snapet Church, - 


<( 


Blue Hill, - 


S. E. 


74 28 45.00 


19713.81 


70985,50 


It « » u i. 


n 


State House, 


S. E. 


38 09 24.00 


72941.50 


57310.05 


Seekonk Clock Church, 


it 


Great Rock Hill, - 


S.W. 69 40 37.00 

j 


0350.22 


17238.00 


tt it tt „ ,. 


tt 


Joe's Rock Hill, ' 


S. E. 11 45 45.00 


09272.00 


14424.36 


Sharon old yellow Church, 


ti 


Blue Hill, - 


S.W. 28 53 51.00 


32007.00 


17700.09 


(( It it « . _ 


tt 


Prospect Hill, Walthara, 


S. E. 'll 42 26.00 


90409.30 


19978.08 


Sherburne Church, - - - 


(( 


Brush Hill, - 


S. E. 43 25 17.00 

1 


3958.24 


3745.94 


tt t( . te s. 


tt 


Pegan Hill, - 


S.W. 78 40 49.00 


3562.37 


17796.02 


Somerset old Methodist Church, 


tt 


Fall River Station, 


N. W. 33 23 17.00 


9349.23 


6101.90 


" Bowers* Shore Church, 


tt 


" « " i » 


N.E. 


12 55 24.00 


22125.50 


5070.90 


Southborough Church, 


tt 


Bumsket Hill, 


N.E. 


89 26 13.00 


971.31 


98836.20 


« « 


ti 


Wachusett Mountain, - 


S. E. 


54 40 04.00 


67389.70 


95417.04 


SoutJi Reading Church, 


It 


Castle Hill, - 


N. W. 


48 46 48.00 


6717.12 


7007.67 


tt It it . _ 


ti 


Holt's Hill, - 


S. E. 


10 26 35.00 


48801.80 


8994.73 


Stoneham old Church, 


tt 


Gumpus Hill, 


S. E. 


38 54 44.00 


89149.00 


71965.63 


« it it ». . 


It 


Holt's Hill, - 


S. E. 


3 08 17.00 


58152.23 


3188.15 


Stoughton Clock Church, - 


(C 


Blue Hill, - - - 


S. E. 


6 16 00.00 


31831.58 


3495.50 


« <* " - - 


(( 


Moose Hill, 


N.E. 


89 30 22.00 


264.01 


30627.20 


Swanzey (near Luther*s Tavern) Ch 


(( 


College Hill, 


S. E. 


50 01 17.00 


32082.90 


47603.17 


« u it tt ti 


(1 


Great Meadow Hill, 


S.W. 


2 45 34.00 


40747.32 


2253.16 


Taunton Church, - - * 


(( 


Beacon Pole Hill, 


S. E. 


69 25 30.00 


35880.16 


95584.22 


It « * w .. 


(f 


Fall River Station, 


N.E. 


11 34 10.00 


70006.40 


14331.34 


Tewksbury Church, - - • 


(t 


Gumpus Hill, 


S. E. 


39 55 59.00 


41419.70 


34672.86 


tt » - _ _ 


ti 


Holt's Hill, - 


S.W. 


73 00 24.00 


10423. 50 


34108.12 


Tiverton, Rhode Island, Church, 


tt 


Great Meadow Hill, - 


S. E. 


25 58.00 


92599.50 


699.45 



$2 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 



Direc- 
tions. 



Bearings. 



Northings | Eastings 

or Souiiiings or Wesinigs 

in feet. in feet. 



Tiverton, Rhode Island, Church, 
Topsfleld Church, - - . 



from 



(C (( 



Tyngsborough Secondary Station, 

" Clmrch, 

Walpole Church, . - - 
<( " .. - _ 

Wareham bell-top Church, - 

« a (( _ . 

" Narrows Church, 

ic a « _ . 

Watertown tiu:reted Church, 
ft tt « 

" U. S. Arsenal Pole, 

«c a a i( 

Wayland Church, ... 

" " - - - 

Wenham Old Church, 

(( II 11 . . 

West Bridgewater Church, 

West Cambridge Church, - 
II 11 11 _ . 

Westford Church, ... 
« " ... 

West Newbury Church, 

II 11 11 . . 



Weston Church, 



11 11 



Rhode Island Station, 
Bald Pate Hill, - 
Holt's Hill, - 
Forest Hill, - 



N. E. 36 00 59.00 15449.31 
S. E. 33 39 10.00, 23850.32 



11 11 



Weymouth North Church, 



Chestnut Hill, 
Moose Hill, - 
Great Hill, - 
Mendal's Hill, 
Indian Hill, - 
Mendal's Hill, 
Dorchester 1 
State House, 
Prospect Hill, Waltham, 
State House, 
Brush Hill, - 
Prospect Hill, Waltham, 
Middleton 3 p'nt Station, 
Perkins' Hill, 
Blue Hill, - 
Monk's Hill, 
BltieHill, - 
State House, 
Wachusett Mountain, - 
Watatick Mountain, 
Holt's Hill, - 
Prospect Hill, Rowley, - 
Prospect Hill, Waltham, 
State House, 
Blue Hill, - 



N. E. 

N. E. 

N. E. 

N. E. 

N. W. 

N. W. 

N. E. 

N. W. 

N. E, 

N. W. 

N. W. 

S. E. 

N. W. 

N. E. 

S.W. 

N. E. 

S.W. 

S. E. 

N. W. 

N. W. 

N. W. 

N. E. 

S. E. 

N. E. 

N. W. 

S.W 

N. W. 

N. E 



89 20 07.00 
52 41 26.00 
62 49 55.00 
71 50 13.00 
55 07 33.00 

3 31 20.00 
60 48 27.00 

5 25 49.00 
65 15 55.00 
71 20 27.00 
84 00 10.00 
68 25 18.00 

87 00 38.50 
9 41 39.00 

71 42 04.00 

88 35 37.00, 
54 52 27.00 
21 59 48.00 
74 16 13.00 

8 11 58.00 
49 23 56 00| 
74 48 10.00 
70 35 40.00 
29 45 08.00 
10 08 06.00 
58 09 20 00 
86 36 43.00 
82 05 42.00 



483.48 

13019.62 

4937.68 

28527.54 

7348.75 

20650.30 

23846.20 

119435.60 

20810.36 

12632.80 

3425.17 

9769.40 

1345.25 

40291.33 

9443.13 

853.22 

11555.24 

69294.42 

22088.20 

74092.94 



11231.33 
17108.30 
41671.45 
17084.45 

9620.90 
86956.00 
10544.32 

1271.06 
42680.85 
11353.70 
45172.83 
37409.76 
32603.50 
24701.70 
26654.08 

C882.90 
28555.23 
34753.00 
16425.70 
27992.07 
78425.00 
10676.22 



20870.561 24349.14 
32833.30120869.75 



42871,77 

54707.00 

31263.76 

7371.78 

3742.65 

6370,04 



12170.33 
31270,42 
26359.20 
118G8.62 
63218.50 
45877.03 



TRIGONOMETRICAL 
SECTIONS III AND IV. TA 



SURVEY. 63 

BLE 2 — CONTINCED. 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc- 
tions. 


Bearings. 


Northings 

or Southings 

in feet. 


Eastings 

or Westings 

in feet. 


Weymouth North Church, - 


- 


from 


Dorchester Height, 


S. E. 


o 1 n 

36 02 40.00 


37649.83 


27398.84 


" Yellow Church, 


- 


It 


Blue Hill, - 


S. E. 


72 58 50.00 


13486.25 


44058.70 


<( II II 




II 


Nahant Station, - 


s.w. 


5 03 56.00 


92114.60 


8165.20 


Wilmington Church, - 




<i 


Gumpus Hill, 


S. E. 


41 22 55.00 


00672.80 


53456.35 


(1 " . . 




It 


Holt's Hill, - 


S.W. 


27 18 18.00 


29680.61 


15322.60 


Wrentham North Church, - 




It 


Moose Hill, - - - 


S.W. 


86 57 48.00 


1606.92 


30290.93 


U II 11 




It 


Pegan Hill, - 


S.W. 


6 57 42.00 


47007.17 


5849.73 


" Village Church, 




It 


Joe's Rock Hill, - 


N. E. 


58 22 34.00 


12880.80 


20927.63 


(1 II It 




II 


Red Brush Hill, - 


N. E. 


42 56 06.00 


13267.70 


12344.21 


" West no-spire Church, 


It 


Beacon Pole Hill, 


N. E. 


40 31 38.00 


9868.50 


8130.60 


II II II II It 


- 


" 


Rod Brush Hill, - 


S.W. 


85 52 10.00 


809.60 


11210.70 



54 



TRIGONOMETRICAL SURVEY. 



SECTIONS III AND IV. 

TABLE 3. 

This Table shows the Southings and Wesii7igs, from Salisbury Marsh Station, of Sta- 
tions in the third and fourth sections, together with their Latitudes and Longitudes. 

[Such Stations as are east of the meridian of Salisbury Marsh Station (parallel to the meridian of the Slate House) have the 
negative sign ( — ) before them, and arc registered in the eolumn of Westings.] 



NAMES OF STATIONS. 



Alden's Hill, - 

Antiquarian Hall, 

Ayers'Hill, - - . 

" " State Line Boundary at 

Baker's Island tall Light, - 

Bald Hill, - - - . 

Bald Pate Hill, 

Barnstable Court House, - 

Beacon Pole Hill, - 

Bird Island Light, - 

Blue Hill, . . . . 

Blue Hill Meridian Mark, 

Bond's Transit, ... 

Boston Light, - . . - 

Bourne's Hill, - • . . 

Brandy Brow Hill, State Line } 
Corners of, - - - ^ 

Brush Hill, - - . . 

Bullock's Neck Station, - 

Bumsket Hill, ..... 

Burnt Swamp State Line Signal, 

Cambridge Stone Colored Ch., 

Castle Hill, .... 

Chatham Station, ... 



Towns in which situated. 



Southings 
in feel. 



Westings 
in feet. 



Middleborough, - 
Worcester, 
Haverhill, - 

li _ ^ 

Salem Harbor, - 
Douglas, - 
Georgetown, 
Barnstable, 
Cumberland, R. I. 
Buttermilk Bay, - 
Milton, 

Dorchester, 

Boston Harbor, - 

Sandwich, - 

Haverhill and Ames- 
bury, 

Sherburne, 

Seekonk, " 

Paxton, 

Wrentham, 

Cambridge, 

Saugus, 

Chatham, - 



379C90.00 

218088.07 

I 

23926.47 

23975.00 

122167.87 

300501.83 

t 
59845.58 

425587.31 

317236.51 

438091.90 

240497,06 

240490.11 

200772.32 

I 

1 98240. 05i 
414353,48 

14133.39 

225895.16 
410546.48 
200861.76 
310723.14 
181283.00 
139697.16 
426190.59 



34347 

263888 

63521 

65451 

—9004 

240031 

52185 

-142084 

168848 

—29380 

78925 

79274 

60095 

18318 

—92398 

62057 

152037 

145914 

290056 

151560 

80241 

60085 

-230785 



Latitude. 



41 49 

42 10 
42 48 
42 48 
42 32 
42 02 
42 42 

41 42 

42 00 

41 40 

42 12 
42 12 
42 19 
42 19 
41 44 



48.51 
17.04 
23.86 
23.38 
12.02 
44.62 
28,94 
00.07 
03.54 
09.670 
44.03 
44.05 
16.59 
41.13 
00.90 



Long^itude. 



57 20.51 
48 13.04 

03 46.15 

04 11.68 
47 28.43 

42 54.93 
01 13.87 
18 33.81 
27 02.06 

43 21.24 
07 10.84 
07 15.44 
04 20.246 
53 43.75 
29 28.25 



42 50 00.6171 03 34.17 
1 



42 15 

41 44 

42 18 
42 01 
42 22 
42 29 
41 41 



00.74 
42.44171 

05.58,71 
08.60 71 
29.1171 
20.03 71 
50.73,09 



23 23.80 
21 53.83 
54 10.74 
23 13.26 

07 28.85 
03 00.01 
59 03.86 



TRIGONOMETRICAL SURVEY. 65 

SECTIONS III AND IV. TABLE 3 — Continued. 



NAMES OF STATIONS. 


Towns in which situated. 


Southings 
in Ifeet. 


Westings 
iu feel. 


Latitude. 


LoDg^ilude. 


Chestnut Hill, 


Mendon, - . - 


293764.68 


1 o / // 

203555.2342 03 53.76 


O / // 

71 34 43.76 


Clark's Point Light, 


New Bedford, - 


466109.00 


20640.1241 35 34.340 

1 


70 54 21.48 


Coddon'sHill,- 


Marblehead, 


129547.54 


8822.8142 30 59.03 


70 51 34.98 


CollegeHill, - - - - 


Providence, R. L 


376440.00 


150809.8041 50 19.05 


71 24 19.42 


Copecut Station, - - . 


Fall River, 


419295.20 


64163.84 


41 43 17.30 


71 03 54.65 


Cupola of Mr. Bond's House, - 


Cambridge, 


1819C9.67 


79201.90 


• 


• 


Cuttyhunk Light, . - - 


Cuttyhunk Island, 


531095.25 


33948.86 


41 24 52.39 


70 57 17.89 


" StaUon, - 


U (C 


528810.36 


29565.73 


41 25 14.89 


70 56 20.29 


Dartmouth Station, - - - 


Dartmouth, 


474503.65 


55864.76 


41 34 11.79 


71 02 05.42 


Dedham Ch., opposite Court H., 


Dedham, - - - 


226982.94 


96085.60 


42 14 57.30 


71 10 59.28 


Dorchester Height, - - - 


South Boston, - 


196477.45 


60446.04 


• 




Eastern Point Light, 


Gloucester, Cape Ann, 


106085.02 


42265.39 


42 34 49.61 


70 40 10.85 


East India Marine Hall, - 


Salem, ... 


127657.47 


19156.70 


42 31 18.52 


70 53 53.03 


Fall River Station, - 


Fall River, 


423125.20 


87593.88 


41 42 39.41 


71 09 03.79 


Falmouth Station, - - - 


Falmouth, - - - 


463926.53 


—50730.01 


41 35 53.19 


70 37 22.41 


Fay's Mountain, 


Westborough, - 


229861.32 


218053.56 


42 14 24.31 


71 38 01.84 


Forest Hill, - - - - 


Dunstable, 


76307.04 


171525.47 




• 


French's Hill, ... - 


Peru, ... 


155911.40 


598070.83 


42 25 38.67 


73 02 39.27 


Gay Head Light, - - - 


Martha's Vineyard, 


555102.25 


2581.58 


41 20 54.54 


70 50 26.75 


German Hill, - - - - 


Yarmouth, 


429203.10 


-168031 .35 


41 41 27.94 


70 12 52.03 


Gloucester Church, - - - 


Gloucester, 


94089.22 


—41736.83 


42 36 48.17 


70 40 17.17 


Great Hill, - - . - 


Rochester, - - - 


423557.10 


—28082.08 


41 42 33.41 


70 43 37.61 


Great Meadow Hill, 


Rehoboth, - - - 


36iy/'/.22 


106952.15 


41 52 45.33 


71 13 20.65 


Great Rock Hill, - 


" - - - 


369100.00 


126122.35 


41 51 32.57 


71 17 33.98 


Gumpus Hill, - - - - 


Pelham, N. H. - 


53181.09 


145525.57 




• 


Gurnet Light, - - - - 


Duxbury, - - - 


316234.00 


—60581.17 


42 00 12. a3 


70 36 21.17 


Harris Street Church, 


Newburyport, 


23018.40 


14026.27 


42 48 32.15 


70 52 41.30 


Harvard Observatory Transit, - 


Cambridge, 


181975.63 


79234.49 


42 22 22.20 


71 07 15.44 


Highland Light, - . - 


Truro, ... 


301719.83 


—207233.67 


42 02 23.36 70 03 55.33 


Hollis Street Church, 


Boston, . . - 


190325.50 


C5408.21 


42 20 59.81 


71 04 11.12 



56 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 3 — Continued. 



NAMES OF STATIONS. 


Towns in which situated. 


Southings 
in leet. 


Westings 
in feet. 


Latitude. 


Longitude. 


Holmes' Hole Windmill, - 


Tisbury, . - - - 


516300.47 


—60413.30 


41 27 14.87 


O / // 

70 36 37.58 


Holt's Hill, 


Andover, ... 


84178.20 


70748.37 


42 38 28.. 54 71 06 42.94 


Hope, Mount, - . - 


Bristol, R. I. - 


436406.30 


113451.10 


41 40 27.7971 14 44.58 


Hyannis Station, 


Barnstable, ... 


451166.42 


—141020.10 


41 37 53.3670 18 42.92 


Indian Hill, . . - 


Tisbury, - - - - 


525370.00 


40055.50 


41 25 46.75 70 40 57.77 


Ipswich outward Light, 


Ipswich, .... 


67891.15 


—14752.17 


42 41 08.09 70 46 17.09 


Joe Sandford Station, - 


R. I. State Line, Tiverton, 


465808.75 


83833.90 


41 35 37.66 


71 08 13.73 


Joe's Rock Hill, 


Wrentham, - - - 


306177.71 


157784.76 


42 01 53.27 


71 24 36.01 


King's Rock Station, - 


R. I. State Line at Warren, 


406513.30 


121809.59 


41 45 22.98 


71 16 35.75 


Knobskey Light, 


Falmouth, - - - 


493921.57 


—40635.64 


41 30 57.3170 39 37.23 


Long Island Light, 


Boston Harbor, 


197517.00 


36191.62 


42 19 48.365 70 57 41.850 


Lowell Church, - - - 


Lowell, - - . - 


82054.52 


133681.86 


• 


• 


Manomet Hill, - - - 


Plymouth, ... 


343893.00 


—03407.20 


41 55 38.91 


70 35 44.96 


Marsh & Jones' Station, 


Pelham, N. H. - - 


58201.70 


129462.98 




• 


Mendal's Hill, - 


Fairhaven, . - - 


426751.79 


15869.71 


41 42 03.1670 53 17.57 


Middleton 3 point Station, - 


Middleton, - - - 


99992.00 


44527.80 


• 


• 


Miscoe Hill, . . . 


Mendon, - - . - 


271104.69 


205506.57 


42 07 37.5771 35 12.32 


Monk's Hill, 


Kingston, 


331877.08 


—27491.44 


41 57 39.3370 43 40.59 


Monomoy Light, 


Chatham, ... 


476407.11 


—227436.47 


41 33 35.0009 59 56.25 


Moose Hill, . - - 


Sharon, - . . - 


272590.12 


106050.54 


42 07 20.0271 13 10.80 


Munroe's Station, 


R. I. State Line at Seekonk, 


399238.10 


134449.40 


41 46 34.54 71 19 22.92 


Nahant Station, - 


Lynn, .... 


161869.90 


26699.47 


42 25 40.64 70 55 34.58 


Nantucket South Tower, - 


Nantucket, . - - 


577705.40 


—199882.78 


• 


• 


Naushawn Station, 


Naushawn Island, - 


503363.81 


—22852.80 


41 29 24.99'70 44 50.55 


New Bedford Court House, 


New Bedford, ... 


450996.10 


28950.07 


41 38 03.8270 56 10.02 


" " Marine Church, 


" u . . _ 


450726.00 


26900.84 


41 38 00.4070 55 44.39 


Newburyport Light, - 


Plum Island, Newbury, - 


23247.15 


—2027.40 


42 48 29.59^70 49 05.79 


No-man's Land Station, 


No-man's Land Island, ? 
Chilmark, - - > 


589778.70 


—3029.15 


41 15 11.0870 49 06.62 


Nootas'Hill, - 


Westport, ... 


486503.11 


81595.96 


41 32 13.2371 07 44.07 


Nortli end of Verificat'n Base, 


Attleborough, . - - 


351472.49 


144619.03 


41 54 26.17 


71 21 39.38 



TRIGONOMETRICAL SURVEY. 57 

SECTIONS III AND IV. TABLE 3 — Contintted. 



NAMES OF STATIONS. 



Pegan, Hill, ..... 
Pepperell Line Station, - 
Perkins Hill, - . . . 
Pine Hill, - ^ . . 
Pine Tree Boundary, 
Pleasant, Mount, .... 
Plymouth Court House, - 
Poplar Hill, - - . . 
« " State Line Boundary, 
Pocasset Hill, - . - 
Powow Hill, ... 
Prospect Hill, - 



Towns in which situated. 



Quicksand Pond Station, - 

" " Stale Line 

Boundary Stone in 

Rail-cut Hill, - - . . 

Red Brush Hill, 

Rhode Island Station, 

Round Hill Light, - 

Saint Ann's Church, 

Salisbury Marsh Station, - 

Sampson's Hill, . . . 

Scituate Hill, - - - . 

" Light, - - 

South end of Verification Base, 

South Meridian Mark, 

Spigot Hill, - - - - 
8 



Natick, . - . 
N; H. Line al Pepperell 

Essex, - . - 

Sandwich, - . - 
State Line at Dracut, - 

Dracut, .^ . - 

Plymouth, .. . - 

Methuen, . - - 
N. IL Line at Methuen 
Tiverton, R. I. - 

Salisbury, - . - 

Chi I mark, - - - 

Hingham, - - - 

Rowley, . - - 

Waltham, - - . 

Westport, • . - 

R. 1. Line at Westport, 

Gloucester, 

Wrentham, 

Portsmouth, R. L 

Dartmouth, 

Lowell, . - - 

Salisbury, - . . 

Edgartown, 

Cohasset, . . - 

Scituate, . . - 

Seekonk, . - - 

Dorchester, 

Salem, N. H. . 



Southings 
in feet. 



226291.52 
G1011.90 
87583.66 

423565.58 
63606.10 
78945. OG 

333099. 4C 
49890.66 
49351.13 

444349.00 
2256.10 

548721.76 

247419.68 
60737.61 

176155.24 

499801.23 

500118.57 

88476.64 
3065.59.00 
469824.77 
485993.11 

82239.50 

543825.00 
231208.48 
242980.73 
377073.00 
2024.33.42 
31123.74 



Westing's 
in feet. 



130494.24 

205738.48 

—6650.90 

—70693.35 

134766.93 

126541.41 

—42695.35 

116821.49 

116686.05 

100275.35 

31573.85 

—21669.01 

9257.80 

19120.12 

116600.27 

80563.50 

80868.32 

—46325.96 

149203.48 

117485.65 

26319.66 

131945.30 

—93948.10 

2082.28 

— 2S996.83 

145311.87 

66095.46 

98757.74 



Latitude. 



Longitude. 



42 15 03.5371 18 37.13 
42 42 13.2971 35 32.02 



41 42 31.1670 34 15.44 

I 

42 41 50.7871 19 40.59 



41 57 26 

42 44 06 
42 44 12 

41 39 09 

42 51 57 

41 21 56 

42 11 35 
42 42 19 
42 23 19 
41 30 OL 



,5670 40 19.27 
,7671 15 40.52 

09 71 15 38.72 

I 
5371 11 50.69 

I 
,7270 56 36.46 

I 
8270 45 08.27 

I 
0170 51 44.63 

I 
7170 53 50.71 

I 
2571 15 33.76 

I 
7871 07 30.38 



41 29 58.6471 07 34.38 



42 37 43 
42 01 49 
41 34 57 

41 32 17 

42 38 46 
42 52 19 

41 22 41 

42 14 15 
42 12 17 
41 50 13 



.4070 39 15.40 

I 
8371 22 42.21 

I 
4771 15 36.80 

I 
9670 55 36.71 

I 
7871 19 02.04 

I 
3270 49 32.11 

I 
4270 29 19.35 

I 
0070 50 08.66 

I 
64 70 43 15.84 



21 



71 21 47.40 



58 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 3 — Continued. 



NAMES OF STATIONS. 


Towns in which situated. 


Southings 
in leet. 


Westings 
in leet. 


Latitude. 


Longitude. 


Sprague's Hill, - - - 


Bridgewater, 


315972.66 


38759.43 


O / // 

42 00 18.17 


o / // 

70 58 17.87 


Squam Light, - - - - 


Gloucester, Cape Ann, 


76357.15 


—37536.34 42 39 43, 5570 41 12.33 


State House, - - - - 


Boston, . . - 


187269.65 


65251.09 


42 21 30.0071 04 09.00 


Succonnesset Station, 


Marshpee, - - - 


477693.65 


—95862.72 


41 33 34.7670 28 48.26 


Tarpaulin Cove Light, 


Naushawn Isl., Chilm'k, 


511175.82 


—18662.18 


41 28 07.9470 45 46.01 


Telegraph Hill, 


Marshfield, 


275713.63 


—34292.10 


42 06 53.99 


70 42 07.31 


Thatcher's Island North Light, 


Gloucester, Cape Ann, 


84486.30 


—66273.61 


42 38 21.7S3 


70 34 48.06 


« " South Light, 


u a a 


85341.64 


—66237.43 


42 38 13.24 


70 34 48.61 


Tilton's Hill, - - - . 


Ipswich, - - - 


69359.30 


—7693.67 


42 40 53.83 


70 47 41.72 


Toweset Neck Station in 


R. I. Line at Swanzey, 


422510.88 


109641.63 


41 42 45.27 


71 13 54.70 


Trinitarian Church, - - - 


Taunton, - - - 


353118.32 


7.3263.43 


• 


• 


Tuft's Hill, - - - - 


New Braintree, - 


200600.50 


341213.7142 19 01.90 


72 05 24.96 


University Hall, - . - 


Providence, R. I. 


380945.00 


157961.0041 49 34.48 


71 24 34.41 


Unitarian Church, - - - 


Sandwich, - - - 


405250.66 


—88932.9241 45 31.09 


70 30 13.19 


Wachuset Mountain, 


Princeton, - - - 


138500.13 


287228.5342 29 21.21 


71 53 33.885 


Watatick Mountain, 


Ashburnhani, 


62799.43 


288056.13 


42 41 49.12 


71 53 54.97 


"West Chop Light, - 


Tisbury, Martha's Vin. 


505950.93 


—61109.40 


41 28 57.69 


70 36 27.71 



TRIGONOMETRICAL SURVEY. 



69 



SECTIONS III AND IV. 

TABLE 4. 

Table of Southings and Westings of Secondary Objects, from Salisbury Marsh Station, 
in the third and fourth sections, together with their Latitudes and Longitudes. 

[Such objects as are east of the meridian of Salisbury Marsh Station (parallel to the meridian of the State House) have the 
negative si^i { — ) before them, and are registered in the column of Westings.] 



NAMES OF OBJECTS. 



Abington two-steepled Church, - 

" Northeast Church, 
Acton Church, - . - . 
Amesbury West Church, 
Andover Theological Seminary, - 

" Nortlieast Church, - 
Attleborough East Church, - 
Bedford Church, - - . - 
Bellingham tall-spired Church, 
Berkley Church, - - - - 
Beverly Church, - - - - 

" white-spired Church, 
Billerica tall-spired Church, - 
Bo.\borough Church, - - - 
Bo-xford new black-top Church, - 
Bradford West Church, 
Braintree Church, ... 
Bridgewater Church, . - - 
Brighton large Church, 
Boston, Fort Independence Flag Pole, 

« HoUis Street Church, 
Brookline Baptist Church, - 

" Dr. Pierce's Church, - 



Snulhings 
in leet. 


Westings 
in feet. 


Latitudes. 


Limgitudes. 






o / // 


o / // 


286940.36 


30708.84 


42 04 45.16 


70 56 30.63 


270288.90 


25044.15 






140458.07 


164981.21 


42 29 30.13 


71 26 21.10 


] 3462. 28 


49065.29 


42 50 07.18 


71 CO 31.61 


81651.15 


&3722.83 


42 38 53.47 


71 08 16.34 


68453.19 


78318.65 


42 41 03.89 


71 07 04.08 


337731.35 


124747.26 


41 56 42.55 


71 17 16.86 


138638.34 


123527.76 


42 29 29.76 


71 17 07.41 


286171.30 


176619.24 


42 05 10.14 


71 28 47.03 


375287.91 


70594.21 


41 50 32.20 


71 05 19.64 


117710.91 


15248.30 


• 




107377.30 


20108.16 


42 34 38.92 


70 54 05.20 


113910.67 


120702.67 


42 33 34.16 


71 16 30.46 


138331.75 


190293.37 


42 29 30.17 


71 31 59.20 


75793.77 


47683.83 


• 


• 


38287.10 


68574.57 


42 46 01.98 


71 04 53.59 


245081.55 


50104.00 


42 11 58.73 


71 00 47.62 


321775.89 


42277.64 


41 59 20.86 


70 59 04.58 


190475.58 


89434.70 


42 20 58.20 


71 09 31.29 


194418.12 


51248.85 


• 


• • 


190325.50 


65408.21 


42 20 59.81 


71 04 11.12 


196313.62 


80202.20 


• • 


• • 


198541.62 


83384.16 


42 19 38.56 


71 08 10.57 



60 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 4 — Continued. 



NAIVfES OF OBJECTS. 



Southings 
iu ieet. 



Westings 
in feel. 



Latitudes. 



Longitudes. 



Cambridge stone-colored Church, - 
Canton Gothic Church, - - » - 
Carlisle Church, - - - . - 
Carver Church, - - - . - 
Charlestown, Bunker Hill Monument, - 
Chelmsford Church, - - - - 

" Middlesex Church, 

" North Church, - - - 

Chelsea Ferry Church, - . - , 

" Village Church, 
Cohasset Church, - . . - 

Concord Church, - - . . 

Danvers Church, - - - - - 

« Village Church, South Parish, 
Dartmouth, Padanaram Church, - 
Dedham Church, by Court House, 

« South Church, ... 

" West Church, 
Dighton, Richmond Hill three point Station, 
Dorchester, Dr. Harris's Church, - 

" Church, - - - . 

Dover Church, - - - - - 
Dracut Church, (near Patucket Bridge,) 

" " (old, without spire,) 

Dunstable Church, square-towered, 
Duxbury Church, yellow, (since rebuilt,) 

" Village Church, - 
East Bridgewater Church, - - . 
Easton Church, - . - - - 
Essex old Church, . . . - 



181282.93 
253850.74 
125185.73 
347044.45 
180C43.75 
100001.09 
85769.20 
85236.40 
175342.27 
168701.02 
229062.74 
150123.23 
112008.56 
120701.47 
407549.30 
220989.22 
240451.53 
239030.98 
387904.01 
205488.30 
211839.09 
228139.07 
80558.70 
73725.90 
71817.40 
304702.47 
304595.12 
307027.68 
304.537.17 
86893.22 



80241.40 

84297.03 

142295.45 

—6412.73 

64464.78 

14.3074.05 

142251.11 

149881.97 

58294.79 

49894.82 

—5224.41 

142087.14 

37454.28 

28232.02 

31594.43 

90085.71 

102280.01 

105012.80 

82S37.07 

64859.30 

67278.26 

124609.80 

1.37491.26 

129653.04 

177942.97 

—35604.93 

—40918.71 

35120.63 

74365.59 

—10837.45 



42 22 29.11 
42 10 32.06 
42 31 42.13 

41 55 10.20 

42 22 35.47 

42 38 11.58 



42 24 33.41 
42 14 35.99 
42 27 35.75 

42 31 28.14 

41 35 20.14 

42 14 57.30 



71 07 28.85 
71 08 22.13 
71 21 18.69 

70 48 10.39 

71 03 58.52 

71 21 19.87 



71 00 44.15 

70 48 31.36 

71 21 14.78 

70 55 54.27 

70 56 45.77 

71 10 59.28 



42 18 29.99 

42 14 46.42 
42 39 03.20 



71 04 03.77 

71 17 18.77 
71 20 10.37 



42 40 27.90 71 29 18.63 



42 02 08.34 
42 01 46.51 
42 02 11.29 
42 38 00.50 



70 40 31.08 

70 57 29.48 

71 00 09.87 
70 47 10.38 



TRIGONOMETRICAL SURVEY. 61 

SECTIONS III AND IV. TABLE 4 — Contintjed. 



NAMES OF OBJECTS. 



Fall River Baptist Church, - - - 
Falmouth Church, - . - . 

" North Church, 

Foxborough tall-Bpired Church, - 
Framingham North Church, 

" Saxonville Church, - 

Franklin new Church, - - - - 
Freetown, Asaonet North Church, 
Georgetown tall-spired Church, 
Gloucester, Annisquam Church, - 

" Harbor Church, - 

Groton tall-spired Church, - - - 
Halifax Church, • - - - - 
Hamilton Church, - - - . 
Hanover Church, - - - 

Hanson Church, - - - - - 
Haverhill East Church, near Ayers' Hill, 

" new tall-spired Church, - 

" West Brick Church, 
Hingham, Dutch-built Church, 

" Great Plain Church, 

" Old Colony House, 

Holliston Church, . - - - 

Hopkinton Church, . - . . 
Hull, Nantaaket Fort Flag-staff, - 
Ipswich Church, - - - - - 
Kingston Village Church, , 
Lexington Church, - - . - 
Lincoln Church, - - - - - 
Little Compton, R. I. Church, 



Southings 
in leei. 



Westings 
in feel. 



427099.54 

479940.07 

447721.89 

294050.32 

20G915.55 

197964.37 

284835.10 

392098.68 

55506.71 

76437.07 

94089.27 

96650.59 

320965.50 

90838.03 

276340.23 

296149.34 

28995.91 

34457.78 

30884.58 

229824.49 

240988.93 

227477.09 

244102.24 

233833.16 

206872.40 

69374.02 

320044.78 

154002.34 

161843.01 

496558.02 



90750.26 

—56281.92 

—56493.72 

116111.08 

165536.44 

156265.95 

156988.33 

66543.30 

44207.66 

—40273.42 

—41737.23 

200786.24 

10196.18 

8935.59 

—2252.82 

13970.92 

57623.07 

69002.32 

83908.17 

17409.94 

16594.21 

13480.05 

164505.84 

188585.63 

23210. 42 

4084.41 

—25229.58 

110257.00 

129863.39 

94722.27 



Latitudes. 



o / // 

41 42 00.10 
41 33 14.97 



Longitudes. 



71 09 45.37 
70 37 29.46 



42 03 54.38 71 15 23.77 
42 18 13.73 71 26 24.53 



42 05 23.24 

41 47 46.10 

42 43 11.75 

42 36 48.17 
42 36 21.40 

41 59 28.34 

42 37 22.09 
42 06 48.94 
42 03 33.63 



42 47 15.04 



42 14 52.45 
42 12 06.35 
42 13 46.76 

42 40 54.03 

41 59 36.33 

42 26 58.26 
42 25 40.33 



71 24 25.79 
71 04 26.21 
70 59 26.89 

70 40 17.17 

71 34 22.66 
70 51 59.43 
70 51 35.21 
70 49 12.73 
70 52 48.72 



71 08 19.38 



70 52 40.17 

71 26 08.67 
71 31 29.55 

70 50 20.49 

70 44 09.93 

71 14 09.74 
71 18 31.15 



41 30 33.69 71 10 36.61 



62 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 4 — Continited. 



NAMES OF OBJECTS. 



Southings 
ill ieet. 



Lowell Church, ---..- 

" Saint Ann's Church, - - . - 
Lynn Church, ..-.-. 

" East Church, 

Lynnfield Church, . - - - - 
Maiden black-top Church, - - - . 

" square-towered Church, - - - 
Manchester Church, - - . . - 
Mansfield Church, - . . . - 
Marblehead North, spired Church, 

" square-towered Church, (Unitarian, 
Marshfield Church, . - . . . 
Medfield Church, - . . . . 

Medford new Church, - - - . - 
Medway East Church, .... 

" Factory Village Church, 

" West Church, - . - " - 

Mendon Church, ...... 

Methuen square-towered Church, ... 
Middleborough domed-top North Church, 
" Four Corners Church, - 

" Ionic Church, ... 

Middletoa Old Church, .... 

" three point Station, ... 

Milford Church, 

Milton Old Church, 

" Stone Church, near Rail-road, - 
Nashawena House Chimney, ... 
Natick New Church, tall-spired, . - • 

" South Church, 



82054.52 

82239.50 
148606.90 
147001.32 
121 188. C6 
162941.41 
103501.75 
108111.08 
308915.07 
132935.54 
133397.05 
260002.19 
249408.72 
164550.77 
257489.72 
260348.53 
204919.33 
278901.09 

52025.07 
343.399.85 
350929.89 
351019.97 
100032.90 

99992.00 
260690.73 
225442.37 
223779.26 
522870.58 
214147.91 
218150.54 



Weslings 
in feet. 



133681.86 

131945.30 

S4982.92 

31181.63 

61093.79 

66425.81 

66129.93 

—13315.91 

100864.52 

7062.95 

7915.70 

—22264.42 

131074.62 

79140.77 

147142.86 

150112.42 

165254.75 

198349.18 

98115.79 

42575.82 

23693.67 

16553.55 

50138.09 

44527.87 

189515.18 

69709.47 

58687.88 

11217.35 

141901.14 

133554.50 



Latitudes. 



o / // 

42 38 40.78 
42 27 51.21 

42 32 22.90 

42 25 24.25 
42 34 30.41 
42 01 27.68 

42 30 21.57 
42 08 30.43 
42 11 15.10 
42 25 14.42 

42 08 20.88 

42 06 20.23 
42 43 40.01 

41 53 33.25 

42 35 45.46 

42 08 21.96 
42 15 12.83 



42 17 03.17 



Longiludes. 

Q t If 

71 19 02.04 

70 57 24.88 

71 03 13.43 

71 04 20.73 

70 44 24.43 

71 13 21.74 

70 51 23.00 

70 45 46.51 

71 18 43.97 
71 07 14.32 

71 24 15.91 

71 33 35.97 
71 11 29.65 

70 54 59.15 

71 00 46.80 

71 31 39.56 
71 05 08.33 



71 21 09.45 



TRIGONOMETRICAL SURVEY. 63 

SECTIONS III AND IV. TABLE 4 — Continued. 



NAMES OF OBJECTS. 



Needham short-spired Church, . - - 

" tall-apired Church, ... 
New Bedford head of river Church, 
« " large-spired Church, 
" " Mariners Church, ... 

Newbury Church, . . . . - 

" north of Port Church, ... 
Newburyport Harris Street Church, 

" Unitarian Church, ... 

Newton tall-spired Church, .... 

" Upper Falls Church, 
North Bridgewater Church, .... 

Norton Church, ------ 

Pawtucket tall-spired Church, ... 
Penequese Island Flag Pole, ... 
Plymouth Beach breakwater extremity, - 

" Court House, .... 

" Eel River Church, 

" Harbor Monument or Duxbury Pier, 
Plympton Church, - - . . - 
Providence R. I. College, or University Hall, 
Quincy Stone Church, - - . . . 
Randolph East Church, .... 

" (with clock) Church, ... 
Reading North Church, .... 

" Wood End Church, 
Rehoboth New Church, - - . . 

« Old Yellow Church, - 
Rochester Mattapoisett Church, - - . 
Rowley, Byfield Church, .... 



Southings 
in feet. 



212737.23 
209811.91 
433297.94 
450110.77 
450720.00 
26364.10 
19476.47 
23018.40 
22333.38 
195998.04 
202740.22 
286734.76 
329753.38 
362572.65 
518351.05 
324973.21 
333099.46 
340600.35 
321858.94 
333769.52 
380945.00 
226263.17 
261187.48 
258537.29 
108148.59 
126147.39 
375802.30 
375437.93 
440786.80 
48624.98 



Westings 
in feet. 



Latitudes. 



115581.14 

127456.09 

26744.67 

27733.62 

26966.84 

11218.27 

18590.42 

14026.27 

13692.12 

100516.76 

108788.00 

53493.56 

98974.95 

151701.23 

26873.59 

—46349.31 

—42695.-35 

—53043.50 

—47299.28 

—2367.72 

157961.00 

48855.50 

50423.36 

59343.01 

69108.04 

75742.08 

116544.88 

118840.57 

—1448.13 

20640.24 



42 17 46.44 

41 38 06.46 

42 48 32.15 

42 20 03.49 

42 05 07.18 
41 58 01.90 
41 52 36.27 

41 57 26.56 



41 57 21.48 

41 49 34.48 

42 15 04.66 

42 09 45.83 
42 34 31.78 

41 50 20.56 

41 39 44.05 



Longitudes. 



o / // 

71 17 57.30 
70 55 44.39 

• • 

70 52 41.30 

71 11 58.88 

71 01 32.96 
71 11 35.73 
71 23 12.56 

70 40 19.27 

70 49 13.43 

71 24 34.41 
71 00 30.84 

71 02 50.50 
71 05 00.59 

71 15 27.12 

70 49 29.67 



64 TRIGONOMETRICAL SURVEY. 

SECTIONS III AND IV. TABLE 4 — Contin tted. 



NAMES OF OBJECTS. 



Southings 
in lieet. 



Westings 
in feet. 



Latitudes. 



Lonsfitudes. 



Rowley Church, -.-.-. 

Roxbury, Mr. Putnam's Church, - - - . 

" Southwest Church, (Mr. Parker's,) - 
Salem East India Marine Hall, - - - . 
" tall-spired Church, - . . . . 

Salisbury New Church, . » . . . 
Scituate Church, ------. 

" Universalist Church, (Snapet,) 
Seekonk Clock Church, -..--. 
Sharon Old Yellow Church, - - - - 

Sherburne Church, . - . . - 
Somerset, Bowers' Shore Church, - . - ■ 

" Old Methodist Church, no spire, - 
Southborough Church, - - - - - 

South Reading Church, . . - - . 

Stone Boundary in N. H. State Line, at corners of i 
Haverhill and Methuen, - - - . i 

Stoneham Church, (since burnt down,) - 
Stoughton Clock Church, .... 
Swansey Church, (near Luther's Tavern,) 
Taunton Church, (opposite Bristol County House,) 
Tewksbury Church, . - - . - 
Tiverton, R. I. Stone Bridge, ... 
Topsfield Church, ... - 

Tyngsborough Church, . - . . 

" Secondary Station, 

Walpole Church, - . . . . 

Wareham bell-top Church, . . - - 

" Narrows (Church, - - - - 
Watertown turreted Church, ... 

" United States Arsenal pole. 



55928.23 
197570.54 
212768. C3 
127656.28 
128268.04 

10628.48 
244703.47 
260211.32 
375449.96 
2725G4.60 
229853.64 
400999.70 
413775.97 
205890.14 
132980.05 

28302.67 
1423.30.24 
272327.67 
408523.72 
353117.73 

94601.27 
454376.09 

83695.31 

71369.36 

&3287.42 
265239.25 
402906.69 
405940.91 
183844.56 
185924.52 



—15961.87 

72299.34 

87450.74 

19157.56 

20948.04 

10721.20 

—18196.33 

7940.42 

143360.37 

96623.79 

148290.67 

82516.98 

93755.78 

192816.08 

67753.53 

97123.54 

73560.08 

75426.57 

109205.97 

73263.45 

110854.60 

106253.51 

35077.17 

161904.57 

154441.02 

116597.04 

—26811.08 

—29302.46 

97855.19 

91901.87 



O t It 

42 43 07.16 
42 19 48.21 



42 31 18.52 

42 50 34.00 
42 12 01-02 

41 50 29.32 

42 07 27.04 
42 14 27.77 

41 46 18.08 

42 18 22.52 
42 30 26.41 
42 31 12.40 

42 07 29.55 
41 45 03.38 

41 54 11.28i 

42 36 45.14 

41 37 30.35 

42 38 33.15 

42 40 33.11 

43 08 39.04 
41 45 57.52 



42 21 431.3 



70 53 08.25 

71 05 42.90 



70 53 53.03 

• « 

70 51 56.53 

70 46 39.53 

71 21 21.66 
71 11 05.61 
71 22 33.76 
71 07 57.02 

71 32 27.89 
71 04 42.43 
71 11 14.90 

71 06 24.12 
71 13 49.29 
71 05 55.03 
71 14 19.30 
71 13 09.26 

70 57 24.99 

71 25 43.81 

71 15 31.06 
70 43 53.33 



71 10 04.24 



TRIGONOMETRICAL SURVEY. 65 

SECTIONS III AND IV. TABLE 4 — Continued. 



NAMES OF OBJECTS. 



Southings 
\a feet. 



Westings 
in feet. 



Latitude. 



Longitude. 



Wayland Church, - . - 

Wenham old Church, - - . 

West Bridgewater Church, - 
" Cambridge Church, - 

Westford Church, - . - 

West Newbury Church, 

Weston Church, - - - - 

Weymouth North Church, - 
" Yellow Church, - 

Wilmin^on Church, ... 

Wrentham North Church, - 
" Village Church, - 
" West Church, no-spired, 



185601.60 
99138.84 
309790.48 
166401 .90 
105669.01 
29472.52 
183527.01 
234127.45 
253984.20 
113856.38 
274197.86 
293291.10 
307368.30 



145154.82 

9774.83 

50933.39 

89600.87 

166355.80 

45478.63 

128469.24 

33047.73 

34865.63 

92070.09 

136343.72 

136858.20 

160413.08 



42 21 45.11 71 21 54.09 

I 

42 36 00. lo' 70 51 49.39 



42 01 19.36 
42 24 56.06 
42 34 54.04 
42 47 28.98 
42 22 06.12 



42 10 30.62 
42 33 35.19 

42 04 01.33 



71 00 59.18 
71 09 33.85 
71 26 41.40 

70 59 43.63 

71 18 11.75 



70 57 25.18 

71 10 07.61 

71 19 59.05 



66 



TRIGONOMETRICAL SURVEY. 



TABLE 1. 

The following Table shows the Bearings from one Station to another, in the fifth sec- 
tion, on parallels to the meridian of Hyannis Station, with the Northings, Southings, 
Eastings or Westings made on each course. 

[The meridian of Hyannis Station is calculated from that of the Stale House by the application of Convergency.] 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 1 Northings ^ Eastings 
in feet i"' Southings or Westings 
in feet. ' in feet. 


Bourne's Hill - - to 


German Hill, 


S. E. 


o / // 

78 23 21.00 


77076.34 15512.63 75499.13 

1 1 




High Land Light, 


N. E. 


4G 03 18.00 


1 

160848.00111623.28115811.80 




Mill Hill, - - - - 


N. E. 


83 15 49.00 


133135.70 


15617.02132216.61 




Pine Hill, - - - - 


S.W. 


67 30 11.00 


23599.35 


9022.26 21784.95 

1 




Race Point Light, 


N. E. 


28 56 34.00 


136842.83119751.63' 66223.13 




Scargo Hill, ... 


S. E. 


89 59 23.00 


86066.34 15.44 86066.34 

1 




Small's Hill, 


N. E. 


50 35 50.00 


158668.51 100717.70 122603.60 

1 1 




Wellfleet Light, 


N. E. 


67 43 28.00 


122346.11 


46376.70113215.60 

1 


Chatham Station - to 


Chatham South Light, - 


S. E. 41 31 50.00 

1 


12740.68 


9537.70 8447.32 




Great Point Light, 


S.W. 


8 58 28.00 


113415.55 


112027.13 17692.14 

1 




Monomoy Light, - - - 


S.W. 


4 19 14.00 


50327.91 


50184.90 


3791.53 




Nantucket South Tower'd Ch. 


S.W. 


12 01 39.00 


154693.32 


151297.42 


32235.17 




Scargo Hill, 


N. W. 


75 58 55.00 


53812.11 


13034.78 


52209.55 


Cliff Station - - - to 


Brant Point Light, 


S. E. 


72 28 17.00 


5118.71 


1541.63 


4881.03 




Great Point Light, 


N. E. 


26 56 29.00 


39156.35 


34906.73 


17740.92 




Nantucket South Tower, - 


S. E. 


36 15 51.00 


5393.90 


4349.08 


3190.54 


Falmouth Station - to 


Indian Hill, 


S.W. 


15 09 55.00 


63515.90 


61304.00 


16616.03 




PineHUl, - - - - 


N. E. 


19 35 13.00 


42706.20 


40231.96 


14316.70 




Point Gammon Light, - 


N. E. 


87 34 06.00 


96207.30 


4081.87 


96120.67 




Succonnesset Station, - 


S. E. 


70 06 47.00 


41485.50 


14111.93 


39011.55 


German Hill - - - to 


Barnstable Court House, 


N. W. 


81 33 48.00 


• 


3843.54 


25913.64 




Chatham Station, 


N. E. 


87 45 18.00 


62826.73 


2461.10 


62778.50 




Monomoy Light, - - - 


S. E. 


51 01 32.00 


7.5875.49 


47723.70 


58987.63 




Scargo HUl, 


N. E. 


34 17 48.00 


18757.40 


15496.06 


10569.38 



TRIGONOMETRICAL SURVEY. 
SECTION V. TABLE 1— Continued. 



67 



NAMES OF STATIONS. 


Direc- 
tions. 


Bearings. 


Distances 
in feet. 


Northings 

or Southings 

in feet. 


Eastings 

or Westings 

in feet. 








O 1 II 








Hyannis Station - to 


Bourne's Hill, ... 


N. W. 


52 42 17.00 


61463.00 


37241.87 


48695.30 




Cape Poge Light, 


s.w. 


27 16 20.00 


85865.08 


76320.27 


39345.00 




Chatham Station, 


N. E. 


74 51 21.00 


92597.10 


24190.87 


89381.34 




Falmouth Station, 


s.w. 


81 57 12.00 


85844.56 


12016.50 


84999.38 




German Hill, - . . 


N. E. 


50 45 30.00 


34350.69 


21730.00 


26604.08 




Great Point Light, 


S. E. 


39 13 04.00 


113378.44 


87839.74 


71685.73 




Indian Hill, ... 


S.W. 


54 11 17.00 


12.5303.55 


73318.47 


101613.92 




Monomoy Point Light, 


S. E. 


73 06 25.00 


89453.60 


25994.00 


85593.56 




Nantucket South Tower, - 


S. E. 


24 12 35.00 


139362.60 


127105.67 


57149.10 




Pine Hill, . - . . 


N. W. 


68 14 06.00 


76104.90 


28219.81 


70679.40 




Point Gammon Light, - 


S. E. 


54 31 58.00 


13659.26 


7925.61 


11124.75 




Sampson's Hill, ... 


S.W. 


27 43 43.00 


104199.70 


92233.34 


48482.46 




Succonnesset Station, - 


S.W. 


60 24 06.00 


52889.29 


26122.90 


4.5987.71 


Manomet Hill - - to 


Barnstable Court House, 


S. E. 


43 23 50.00 


• 


82381.38 


77896.62 




Bourne's Hill, - 


S. E. 


21 49 13.00 


76168.27 


70711.15 


28311.48 




German Hill, ... 


S. E. 


50 17 13.00 


134949.31 


86224.92 


103810.31 




Gurnet Light, 


N. W. 


5 27 08.00 


27810.36 


27684.54 


2643.03 




High Land Light, 


N. E. 


74 09 13.00 


149831.00 


40910.01 


144127.40 




Mill Hill, . . . . 


S. E. 


71 03 32.00 


169721.23 


550090.86 


160531.30 




Pine Hill, . . . - 


S. E. 


4 40 47.00 


79998.95 


79732.20 


6526.77 




Race Point Light, 


N. E. 


62 34 55.00 


106498.00 


49040.13 


94535.10 




Scargo Hill, ... 


S. E. 


.58 16 15.00 


134478.96 


70723.10 


114.380.18 




Small's Hill, 


N. E. 


78 45 13.00 


153871.78 


30009.38 


150917.07 




Telegraph Hill, - 


N. W. 


22 39 47.00 


74160.09 


08433.90 


28574.70 


Mill Hill - - - - to 


Chatham South Light, 


S. E. 


20 47 55.00 


40866.60 


38203.49 


14511.09 




Chatham Station, 


S. E. 


11 56 38.00 


29300.1] 


28665.80 


6063.76 




Lombard's Hill, (new station,) 


N. E. 


8 05 02.00 


51328.00 


50818.30 


7217.93 




Provincetown Church, 


N. W. 


27 37 02.00 


111442.87 


98745.55 


51660.72 




Scargo Hill, 


S.W. 


71 17 09.00 


48721.48 


15632.15 


46145.62 




Small's Hill, 


N. W. 


6 26 47.00 


85642.50 


85101.00 


9615.38 



68 



TRIGONOMETRICAL SURVEY. 
SECTION V. TABLE 1— Continued. 



NAMES OF STATIONS. 



Direc- 
tions. 



Beariuffs. 



Mill Hill - - - - to 

Monomoy Light - to 

Nantucket S. Tower to 

Sampson's Hjll - - to 



Small's Hill - - - to 



Succonnesset Station to 
Telegraph Hill - - to 



Wellfleet Light - - to 



Wellfleet Light, 



Great Point Light, 
Nantucket South Tower'd Ch, 
Brant Point Light, 
Cape Poge Light, 
Cliff Station, Nantucket, - 
Edgartown Harbor Light, - 
Falmouth Station, 
Great Point Light, 
Indian Hill, . - - 

Nantucket South Tower'd Cli 
Point Gammon Light, - 
Prospect Hill, Chilmark, 
Succonnesset Station, - 
High Land Light, 
Provincetown Church, - 
Scargo Hill, - . . 
Edgartown Harbor Light, - 
High Land Light, 
Provincetown Church, - 
Race Point Light, 
Lombard's Hill, - - - 



N. W, 
S.W. 

s. w. 

S. E. 
N. E. 
S. E. 
N. W. 
N. W. 
N. E. 
N. W, 
S. E. 
N. E. 
S.W. 
N. E. 
N. W 
N. W 
S.W. 
S.W. 
S. E. 
S. E. 
S. E. 
N. E. 



O / // 

31 42 16. 

1 

12 40 19, 

'is 42 54, 

31 03 15 

1 

29 52 08, 

,73 24 5C, 

'48 56 01 

24 28 15 

87 54 11 

I 

70 24 09, 

71 43 55. 
■35 15 39 
86 37 38 

j 2 09 40 

31 54 02 

I 

72 01 11 

19 56 01 
7 15 25 

80 56 43 
79 46 55 

81 02 50 
52 35 00, 



Distances 
in feet. 



Norlliings j Eastings 

or Soulliings or Westings 

in feet. in feet. 



36155. 
63387. 
105036. 
3277. 
18345. 
106879. 
7072, 
88140, 
120255. 
56398. 
111241, 
103248. 
00 72445. 
00 66157. 
00 12842. 
00 44203. 

I 

00107150. 
00 61960. 

00174880. 

00139659. 

I 
00 124627. 

I 
00, 33011. 



30760. 

61843. 

101110. 

2807. 
15908. 
30506. 

4645. 
80222. 

4400. 
18916. 
34870. 
81305. 

4262. 
66110. 
10902. 
13645. 
100731. 
61464. 
27522. 
24774. 
19394. 
20058. 



19001.20 

13905.17 

28449.47 

1690.49 

9136.45 

102433.47 

5332.06 

36510.40 

120174.55 

53131.31 

105634.75 

59605.40 

72319.97 

2494.76 

6786.45 

42044.39 

36531.08 

7826.82 

172700.72 

137444.70 

123109.37 

26219.00 



TRIGONOMETRICAL SURVEY. 



69 



SECTION V. 

TABLE 2. 

This Table shows the Bearings, with the Northings, So7ithi7igs, Eastings or Westings 
made on each course, from primitive statio}is to secotidary objects, in the fifth section, 
071 parallels to the meridia/i of Hyannis Station. 



WHAT OBJECTS FROM WHAT STATIONS. 


Direc- 
tions. 


Bearings. 


Norlhings Eastings 

or Southings or Westings 

in feet. | in feet. 


Barnstable, Beacon on Bishop's and ? 
Clerk's Ledge, ^ 


from 


Hyannis Station, 


S. E. 


/ // 

36 44 46.00 


20838.50 15.558.00 


« 


« « - . 


u 


Succonnesset Station, 


N.E. 


85 05 30.00 


5285.35 61546.00 


(( 


Beacon on Collier's Ledge 


IL 


Hyannis Station, 


S.W. 


43 52 26.00 


12646.50 


12159.00 


<( 


({ (t (t 


ti 


Succonnesset Station, 


N.E. 


68 16 45.00 


13476.50 


33829.00 


(( 


Centerville Church, 


(t 


Hyannis Station, 


N. W. 


64 14 07.00 


5225.15 


10825.76 


(t 


" " _ - 


<( 


Succonnesset Station, 


N.E. 


48 16 55.00 


31348.04 


35162.00 


« 


Church, 


(( 


Manomet Hill, - 


S. E. 


43 48 45.00 


82707.54 


79348.32 


a 


*'---- 


(( 


Small's Hill, - 


S.W. 


32 24 41.00 


112719.10 


71565.13 


a 


Court House, 


(( 


German Hill, - 


N. W. 


81 33 48.00 


3843.54 


25913.64 


t( 


" ** _ 


(C 


Manomet Hill, - 


S. E. 


43 23 50.00 


82381.38 


77896.62 


<( 


Harbor Light, 


(( 


Bourne's Hill, - 


S. E. 


85 50 55.00 


4063.44 


55983.84 


a 


U it _ _ 


(( 


German Hill, - 


N. W. 


59 36 38.00 


11445.22 


19516.15 


(( 


Hyannis Church, - 


u 


German Hill, - 


S.W. 


55 47 24.00 


14401.00 


21182.50 


i< 


« « - - 


u 


Hyannis Station, 


N.E. 


36 29 29.00 


7333.25 


5424.60 


(C 


Oslerville Church, 


tc 


Bourne's Hill, - 


S. E. 


15 46 33.00 


37526.50 


10602.00 


u 


*< « - - 


(( 


Hyannis Station, 


S.W. 


86 59 27.00 


1128.20 


21461.40 


Brewster Church, - - - - 


f< 


Lombard's Hill, 


S.W. 


27 31 12.00 


56035.20 


29195.00 


(( 


" - . - - 


(C 


Mill Hill, - - 


S.W. 


76 38 49.00 


5217.41 


21980.20 


K 


Packet Signal, 


u 


Lombard's Hill, 


S.W. 


34 20 12.00 


62626.10 


42779.20 


U 


*» » - - - 


(( 


Mill Hill, - 


S.W. 


71 37 55.00 


11811.50 


35.')70.00 


Chatham Church, - - - - 


u 


Chatham Station, 


S. E. 


33 16 49.00 


3468.87 


2276 91 


a 


" - _ - - 


(( 


Mill Hill, - 


S. E. 


14 33 01.00 


32134.74 


8340.70 


Dennis, 


South Village North Church, 


tl 


German Hill, - 


S. E. 


69 35 17.00 


5406.50 


14528.35 


(i 


c( a (( tt 


a 


Harwich Church, 


S.W. 


79 52 41.00 


3909.14 


21897.20 



70 



TRIGONOMETRICAL SURVEY. 
SECTION V. TABLE 2 — Continued. 



WHAT OBJECTS FROM WHAT STATIONS. 



Eastliam Church, - - - 

It ti _ _ _ 

" Nausett North Light, 

U (t tl II 

" " South Light, 

U (( (( it 

Edgartown Church, 

« "... 

Harwich Church, - - - 
** " - - - 

" old no-spired Church, 

Orleans Church, - - - 

*' *' ... 

Provincetown Church, - 

Sandwich Church, 

(( " _ . . 

Truro Church, . . - 
" " ... 

Yarmouth North Church, 

(( a a 

" South Church, 

U it u 



from 



Bourne's HiU, - 
Mill Hill, - 
Lombard's Hill, 
Mill Hill, - 
Lombard's Hill, 
Mill Hill, - 
Falmouth Station, 
Indian Hill, 
Chatham Station, 
Scargo Hill, 
Chatham Station, 
Eastham Church, 
Mill Hill, - 

Small's Hill, - 

Manomet Hill, - 

Small's Hill, - 
Mill Hill, - 

Small's Hill, - 

Bourne's Hill, - 

German Hill, - 

Hyannis Station, 



Direc- 
tions. 



N. E. 

N. E. 
S. E. 
N. E. 
S. E. 
N.E. 
S. E. 
S. E. 
S.W. 
S. E. 
N. W, 
S. E. 
N.E. 
N. W, 
N. W, 
S. E. 
S.W. 
N. W 
S.W. 
S. E. 
N. W, 
S.W. 
N.E. 



Bearings. 



Norlhings 

or Southings 

in feel. 



74 02 59. 
12 50 46. 
17 52 50. 
23 41 54. 
17 42 06. 
23 56 20. 
20 02 36. 

71 12 17. 

81 27 14. 
.56 41 02, 

82 53 51 . 
5 19 04. 

66 48 34, 
27 37 02. 

72 01 U, 
22 02 14, 
53 59 06 
10 19 32 
50 45 43 
81 46 05, 
44 52 52, 
19 33 58 
72 35 19, 



Eastings 

or Weslmgs 

in feet. 



39334 
23717 
19812 
31006 
20106 
30716 
76446 
15145 

3960 
16995 

1181 
20574 

3136 
98745 
13C45 
61579 
91588 
80905 

4187 
10150 

5374 
15062 

6663 



14 
12 
15 

00 
34 
40 
10 
43 
20 
00 
60 
10 
97 
55 
05 
00 
24 
60 
71 
07 
85 
00 
.50 



137625.03 

5408.47 

6391.72 

13609.60 

6417.40 

13636.58 

27889.60 

44501.44 

26353.06 

25856.50 

9483.04 

1915.02 

7322.10 

51660.72 

42044.39 

24926.03 

125991.06 

14740.32 

5127.70 

70159.50 

5352.60 

5353.30 

21248.41 



TRIGONOMETRICAL SURVEY. 



n 



SECTION V. 



TABLE 3. 



This Table shoics the Smithiiigs and Eastings of Stations in the fifth section, from Tele- 
graph Hill Station ( Telegraph Hill being the northwesterly point of the section'), with 
their Latitudes and Longitudes. 

[The imaginary Station named in this Table as a point from which to calculate the Latitudes and Longitudes of the section, is 
situated north of the Telegraph Hill Station, and is designated by the negative sign ( — ), and the figures indicate the number 
of feet.] 



NAMES OF STATIONS. 



Towns in which situated. 



Southings 
in feet. 



Eastings 
in feet. 



Latitude. 



Longitude. 



Barnstable Court House, 
Bourne's Hill, ... 
Brant Point Light, ... 
Cape Poge Light, . - - 
Chatham South Light, - 

" Station, - 
Cliff Station, - - . - 
Edgartown Harbor Light, 
Falmouth Station, ... 
German Hill, .... 
Great Point Light, - - . 
High Land Light, - - . 
Hyannis Station, - . - 
Indian Hill, .... 
Lombard's Hill, ... 
Manomet Hill, ... 
Mill Hill, .... 
Monomoy Light, ... 
Nantucket South Tower'd Church, 
Pine Hill, .... 
Point Gammon Light, 



Barnstable, - 

Sandwich, 

Nantucket, - 

Edgartown, - 

Chatham, 
(( 

Nantucket, - 
Edgartown, - 
Falmoutli, 
Yarmouth, 
Nantucket, - 
Truro, - 
Barnstable, - 
Tisbury, 
Wellfleet, - 
Plymouth, 
Orleans, 
Chatham, 
Nantucket, - 
Sandwich, 
Yarmouth, - 



150814.62 
139145.72 
300677.87 
252715.08 
161732.46 
152195.00 
299129.53 
263976.70 
188402.77 
154657.51 
264224.18 
27523.05 
176386.99 
249706.10 
72710.60 
68433.90 
123528.74 
202380.37 
303492.01 
148167.09 
184316.77 



106472.00 

56887.41 

164615.84 

66435.99 

203614.93 

195166.58 

159730.25 

51966.48 

20784.97 

132386.31 

177470.90 

172701.41 

105783.39 

4168.08 

196322.57 

28574.70 

189104.87 

191375.31 

162929.91 

35102.64 

116905.44 



41 42 06.07 
41 44 00.90 
41 17 24.45 
41 25 18.78 
41 40 16.16 
41 41 50.73 
41 17 39.84 
41 23 27.02 
41 35 53.19 
41 41 27.94 

41 23 24.333 

42 02 23.36 
41 37 53.36 
41 25 46.75 

41 55 38.91 
41 46 34.31 
41 33 35.00 
41 16 56.62 
41 42 31.16 
41 36 35.00 



70 18 33.81 
70 29 28.25 
70 05 51.67 
70 27 19.74 
69 57 12.89 

69 59 03.86 

70 06 55.73 
70 30 29.46 
70 37 22.41 
70 12 52.03 
70 03 01.72 
70 03 55.33 
70 18 42.92 
70 40 57.77 

70 35 44.96 
70 00 22.47 

69 59 56.24 

70 06 13.88 
70 34 15.44 
70 16 16.37 



72 



TRIGONOMETRICAL SURVEY. 
SECTION V. TABLE 3 — Continued. 



NAMES OF STATIONS. 


Towns in which situated. 


Southings 
in feet. 


Eastings 
in feet. 


Latitude. 


Longitude. 


Point situated in the meridian of Hyannis Station, from "i 
■nhich to calculate the latitudes and longitudes of this > 
section, - . . ^ . . . . ^ 


—88426.50 


105783.39 


f II 


/ // 

70 18 42.92 


Provincetown Church, 


- 


Provincetown, 


24779.60 


137444.89 


42 02 51.22 


70 11 42.98 


Race Point Light, - 


- 


t( _ , 


19394.16 


123109.5842 03 44.60 


70 14 53.04 


Sampson's Hill, 




Edgartown, - 


268622.67 


57297.1541 22 41.42 


70 29 19.35 


Scargo Hill, - 




Dennis, 


139159.29 


142956.7541 44 00.93 


70 10 32.29 


Small's Hill, - 




Truro, - 


38425.75 


179490.21 


42 00 35.44 


70 02 25.91 


Succonnesset Station, 


. 


Marshpee, 


202512.32 


59794.70 


41 33 34.76 


70 28 48.26 


Telegraph Hill, - 


. 


Marshfield, - 


• 


• 


42 06 53.99 


70 42 07.31 


Wellfleet Light, - 


- - - 


Billingsgate Isl- ) 
and, Eastham, y 


92768.76 


170103.34 


41 51 38.79 


70 04 32.284 



TRIGONOMETRICAL SURVEY. 



73 



SECTION V. 

TABLE 4. 

Tkl.t Table shoios the Southings and Eastings, from Telegraph Hill Station, of second- 
ary ohjecls in the fifth sectio?i, ieith their Latitudes and Longitudes; Telegraph Hill 
being the northwesterly point of the section. 



NAMES OF OBJECTS. 



Southings, 
in feet. 



Eastings 
in feet. 



Latitude. 



Longitude. 



Barnstable, Beacon on Bishop's and Clerk's Ledge, 

" Beacon on Collier's Ledge, - 

" Ccnterville Church, 

" Church, 

" Court House, ... - 

" Harbor Light, . . - . 

" Hyannis Village Church, 

" Ostetville Church, 

Brewster Church, ----- 

" Packet Signal, ... - 

Chatham Church, 

Dennis South Village North Church, - 
Eastham Church, . . - . . 

" Nausett North Light, 
" " South Light, - 

Edgartown Church, . . . . - 
Harwich Church, - . . . . 

" old Church, without spire, 
Orleans Congregational Church, - . . 
Provincetown Church, - - - - - 
Sandwich Unitarian Church, - . - 

Truro Church, 

Yarmouth North Village Church, - - . 

" South Village Church, - 

10 



197226.23 

189034.65 

171163.06 

151143.14 

150814.63 

143211.22 

169056.13 

177515.19 

128745.97 

135338.47 

155663.67 

160063.70 

99818.09 

92522.75 

92813.02 

264850.20 

1.56154.24 

151013.40 

120391.98 

24779.60 

130013.44 

42618.30 

149290.35 

169721.50 



121341.05 

93624.05 

94956.66 

107924.05 

106472.00 

112871.70 

111205.80 

84322.00 

167126.12 

153539.12 

197444.53 

146915.42 

194511.72 

202714.38 

202741.17 

48672.04 

168813.38 

185683.54 

190426.85 

137444.89 

53499.94 

174363.53 

127047.02 

127032.40 



41 42 06.07 



70 18 33.81 



41 43 21.20 70 17 09.36 



41 45 43.33 



41 40 34.31 
41 50 28.30 
41 51 40.0 
41 51 37.20 
41 23 18.50 
41 41 12.46 

41 47 04.93 

42 02 51.22 
41 45 31.09 
41 59 .54.18 
41 42 21.02 



70 05 12.94 



70 09 40.54 
69 59 19.87 
69 57 21.00 

69 57 20.66 

70 31 12.68 
70 04 51.63 

69 58 45.61 

70 11 42.98 
70 30 13.19 
70 03 34.02 
70 14 02.39 



